EP4245736A1

EP4245736A1 - Optical glass, optical element, optical system, cemented lens, interchangable lens for camera, objective lens for microscope, and optical device

Info

Publication number: EP4245736A1
Application number: EP20961572.3A
Authority: EP
Inventors: Tetsuya Koide
Original assignee: Nikon Corp
Current assignee: Nikon Corp
Priority date: 2020-11-12
Filing date: 2020-11-12
Publication date: 2023-09-20
Also published as: CN116507594A; WO2022102044A1; JPWO2022102044A1; US20230331623A1

Abstract

An optical glass includes: by mass%, 20% to 55% of a content rate of P₂O₅; 10% to 40% of a content rate of TiO₂; 0% to 30% of a content rate of Nb₂O₅; 0% to 2% of a content rate of Al₂O₃; 0% to 10% of a content rate of B₂O₃; 0% to 30% of a content rate of BaO; 0% to 30% of a content rate of Bi₂O₃; 0% to 20% of a content rate of Ta₂O₅; and 0% to 25% of a content rate of WO₃, wherein a ratio of a content rate of TiO₂ to a total content rate of P₂O₅, B₂O₃, and Al₂O₃ (TiO₂/(P₂O₅ + B₂O₃ + Al₂O₃)) is from 0.25 to 0.85, and a ratio of a content rate of TiO₂ to a total content rate of TiO₂, Nb₂O₅, WO₃, Bi₂O₃, and Ta₂O₅ (TiO₂/(TiO₂ + Nb₂O₅ + WO₃ + Bi₂O₃ + Ta₂O₅)) is from 0.25 to 1.00.

Description

Technical Field

The present invention relates to an optical glass, an optical element, an optical system, a cemented lens, an optical system, an interchangeable camera lens, an objective lens for a microscope, and an optical device.

Background Art

In recent years, imaging equipment and the like including an image sensor with a large number of pixels have been developed, and an optical glass that has low dispersion and a high partial dispersion ratio has been demanded as an optical glass to be used for such equipment.

Citation List

Patent Literature

PTL 1: JP 2006-219365 A

Summary of Invention

A first aspect according to the present invention is an optical glass including: by mass%, 20% to 55% of a content rate of P₂O₅; 10% to 40% of a content rate of TiO₂; 0% to 30% of a content rate of Nb₂O₅; 0% to 2% of a content rate of Al₂O₃; 0% to 10% of a content rate of B₂O₃; 0% to 30% of a content rate of BaO; 0% to 30% of a content rate of Bi₂O₃; 0% to 20% of a content rate of Ta₂O₅; and 0% to 25% of a content rate of WO₃, wherein a ratio of a content rate of TiO₂ to a total content rate of P₂O₅, B₂O₃, and Al₂O₃ (TiO₂/(P₂O₅ + B₂O₃ + Al₂O₃)) is from 0.25 to 0.85, and a ratio of a content rate of TiO₂ to a total content rate of TiO₂, Nb₂O₅, WO₃, Bi₂O₃, and Ta₂O₅ (TiO₂/(TiO₂ + Nb₂O₅ + WO₃ + Bi₂O₃ + Ta₂O₅)) is from 0.25 to 1.00. An optical glass includes: by mass%, 20% to 55% of a content rate of P₂O₅; 10% to 40% of a content rate of TiO₂; 0% to 30% of a content rate of Nb₂O₅; 0% to 2% of a content rate of Al₂O₃; 0% to 10% of a content rate of B₂O₃; 0% to 30% of a content rate of BaO; 0% to 30% of a content rate of Bi₂O₃; 0% to 20% of a content rate of Ta₂O₅; and 0% to 25% of a content rate of WO₃, wherein a ratio of a total content rate of BaO and TiO₂ to a content rate of P₂O₅ ((BaO + TiO₂)/P₂O₅) is from 0.40 to 1.50.
A second aspect according to the present invention is an optical element using the optical glass described above.
A third aspect according to the present invention is an optical system including the optical element described above.
A fourth aspect according to the present invention is an interchangeable camera lens including the optical system including the optical element described above.
A fifth aspect according to the present invention is an objective lens for a microscope including the optical system including the optical element described above.
A sixth aspect according to the present invention is an optical device including the optical system including the optical element described above.
A seventh aspect according to the present invention is a cemented lens including a first lens element and a second lens element, and at least one of the first lens element and the second lens element is the optical glass described above.
An eighth aspect according to the present invention is an optical system including the cemented lens described above.
A ninth aspect according to the present invention is an objective lens for a microscope including the optical system including the cemented lens described above.
A tenth aspect according to the present invention is an interchangeable camera lens including the optical system including the cemented lens described above.
An eleventh aspect according to the present invention is an optical device including the optical system including the cemented lens described above.

Brief Description of Drawings

FIG. 1 is a perspective view illustrating one example of an optical device according to the present embodiment as an imaging device.
FIG. 2 is a schematic diagram illustrating another example of the optical device according to the present embodiment as an imaging device, and is a front view of the imaging device.
FIG. 3 is a schematic diagram illustrating another example of the optical device according to the present embodiment as an imaging device, and is a back view of the imaging device.
FIG. 4 is a block diagram illustrating one example of a configuration of a multi-photon microscope according to the present embodiment.
FIG. 5 is a schematic diagram illustrating one example of a cemented lens according to the present embodiment.
FIG. 6 is a graph in which P_g,F and ν_d of Examples and Comparative Examples are plotted.

Description of Embodiments

Hereinafter, description is made on an embodiment of the present invention (hereinafter, referred to as the "present embodiment"). The present embodiment described below is an example for describing the present invention, and is not intended to limit the present invention to the contents described below. The present invention may be modified as appropriate and carried out without departing from the gist thereof.
In the present specification, a content rate of each of all the components is expressed with mass% (mass percentage) with respect to the total weight of glass in terms of an oxide-converted composition unless otherwise stated. Note that, assuming that oxides, complex salt, and the like, which are used as raw materials as glass constituent components in the present embodiment, are all decomposed and turned into oxides at the time of melting, the oxide-converted composition described herein is a composition in which each component contained in the glass is expressed with a total mass of the oxides as 100 mass%.
An expression that a Q content rate is "0% to N%" is an expression including a case where a Q component is not included and a case where a Q component is more than 0% and equal to or less than N%.
An expression that a "Q component is not included" means that the Q component is not substantially included, and that a content rate of the constituent component is an impurity level or less. The impurity level or less means, for example, being less than 0.01%.
An expression of "devitrification resistance stability" means resistance to devitrification of glass. Here, "devitrification" means a phenomenon in which transparency of glass is lost due to crystallization, phase splitting, or the like that occurs when the glass is heated to a glass transition temperature or higher or when the glass is lowered from a molten state to a liquid phase temperature or lower.
An optical glass according to the present embodiment is an optical glass including: by mass%, 20% to 55% of a content rate of P₂O₅; 10% to 40% of a content rate of TiO₂; 0% to 30% of a content rate of Nb₂O₅; 0% to 2% of a content rate of Al₂O₃; 0% to 10% of a content rate of B₂O₃; 0% to 30% of a content rate of BaO; 0% to 30% of a content rate of Bi₂O₃; 0% to 20% of a content rate of Ta₂O₅; and 0% to 25% of a content rate of WO₃, wherein a ratio of a content rate of TiO₂ to a total content rate of P₂O₅, B₂O₃, and Al₂O₃ (TiO₂/(P₂O₅ + B₂O₃ + Al₂O₃)) is from 0.25 to 0.85, and a ratio of a content rate of TiO₂ to a total content rate of TiO₂, Nb₂O₅, WO₃, Bi₂O₃, and Ta₂O₅ (TiO₂/(TiO₂ + Nb₂O₅ + WO₃ + Bi₂O₃ + Ta₂O₅)) is from 0.25 to 1.00. An optical glass includes: by mass%, 20% to 55% of a content rate of P₂O₅; 10% to 40% of a content rate of TiO₂; 0% to 30% of a content rate of Nb₂O₅; 0% to 2% of a content rate of Al₂O₃; 0% to 10% of a content rate of B₂O₃; 0% to 30% of a content rate of BaO; 0% to 30% of a content rate of Bi₂O₃; 0% to 20% of a content rate of Ta₂O₅; and 0% to 25% of a content rate of WO₃, wherein a ratio of a total content rate of BaO and TiO₂ to a content rate of P₂O₅ ((BaO + TiO₂)/P₂O₅) is from 0.40 to 1.50.
The optical glass according to the present embodiment can have low dispersion (great abbe number) and can have a high partial dispersion ratio. Thus, a light-weighted lens that is advantageous in aberration correction can be achieved.
P₂O₅ is a component that forms a glass frame, improves devitrification resistance stability, reduces a refractive index, and degrades chemical durability. When the content rate of P₂O₅ is excessively reduced, devitrification is liable to be caused. When the content rate of P₂O₅ is excessively increased, a refractive index is liable to be reduced, and chemical durability is liable to be degraded. From such a viewpoint, the content rate of P₂O₅ is from 20% to 55%. A lower limit of this content rate is preferably 25%, more preferably 30%, further preferably 38%. An upper limit of this content rate is preferably 50%, more preferably 45%, further preferably 40%. When the content rate of P₂O₅ falls within such a range, devitrification resistance stability can be improved, chemical durability can be satisfactory, and a refractive index can be increased.
TiO₂ is a component that increases a refractive index and a partial dispersion ratio and reduces a transmittance. When the content rate of TiO₂ is excessively reduced, a refractive index and a partial dispersion ratio are liable to be reduced. When the content rate of TiO₂ is excessively increased, a transmittance is liable to be degraded. From such a viewpoint, the content rate of TiO₂ is from 10% to 40%. A lower limit of this content rate is preferably 15%, more preferably 17%. An upper limit of this content rate is preferably 30%, more preferably 28%, further preferably 25%. When the content rate of TiO₂ falls within such range, a high transmittance can be achieved without reducing a refractive index and a partial dispersion ratio.
Nb₂O₅ is a component that increases a refractive index, improves dispersion, and reduces a transmittance. When the content rate of Nb₂O₅ is reduced, a refractive index is liable to be reduced. When the content rate of Nb₂O₅ is increased, a transmittance is liable to be degraded. From such a viewpoint, the content rate of Nb₂O₅ is from 0% to 30%. A lower limit of this content rate is preferably more than 0%, more preferably 5% or more. An upper limit of this content rate is preferably 25%, more preferably 18%, further preferably 10%.
Al₂O₃ is a component that improves chemical durability and reduces a partial dispersion ratio and meltability. When the content rate of Al₂O₃ is excessively reduced, chemical durability is liable to be degraded. When the content rate of Al₂O₃ is excessively increased, a partial dispersion ratio is liable to be reduced, and meltability is liable to be degraded. From such a viewpoint, the content amount of Al₂O₃ is from 0% to 2%. A lower limit of this content rate is preferably 1%. An upper limit of this content rate is preferably 1.6%. When the content rate of Al₂O₃ falls within such range, chemical durability can be increased, and reduction of a partial dispersion ratio can be prevented.
From a viewpoint of achieving high dispersion, the content rate of B₂O₃ is from 0% to 10%. A lower limit of this content rate may be more than 0%. An upper limit of this content rate is preferably 6%, more preferably 4%.
BaO is a component that improves a partial dispersion ratio and degrade devitrification resistance stability. When the content rate of BaO is excessively reduced, a partial dispersion ratio is liable to be reduced. When the content rate of BaO is excessively increased, devitrification resistance stability is liable to be degraded. From such a viewpoint, the content rate of BaO is from 0% to 30%. A lower limit of this content rate is preferably 3%, more preferably 5%, further preferably 7%. An upper limit of this content rate is preferably 25%, more preferably 20%, further preferably 15%. When the content rate of BaO falls within such range, a partial dispersion ratio can be increased, and degradation of devitrification resistance stability can be prevented.
Bi₂O₃ is a component that increases a refractive index and a partial dispersion ratio. When the content rate of Bi₂O₃ is excessively increased, a transmittance is liable to be degraded, and dispersion is liable to be increased. When the content rate of Bi₂O₃ is excessively reduced, meltability is liable to be degraded. From such a viewpoint, the content rate of Bi₂O₃ is from 0% to 30%. A lower limit of this content rate is preferably 2%, more preferably 5%, further preferably 10%. An upper limit of this content rate is preferably 25%, more preferably 20%. When the content rate of Bi₂O₃ falls within such range, meltability can be increased, and a dispersion increase can be prevented.
Ta₂O₅ is a component that increases a refractive index, improves dispersion, and degrade devitrification resistance stability. When the content rate of Ta₂O₅ is increased, devitrification resistance stability is liable to be degraded. From such a viewpoint, the content rate of Ta₂O₅ is from 0% to 20%. A lower limit of this content rate may be more than 0%. An upper limit of this content rate is preferably 16%, more preferably 10%. Further preferably, Ta is substantially excluded. Here, "substantially excluded" means that the component is not contained as a constituent component that affects a property of a glass composition beyond a concentration in which the component is inevitably contained as an impurity. For example, when the content amount is approximately 100 ppm, the component is considered to be substantially excluded. The optical glass according to the present embodiment enables a content rate of Ta₂O₅ being an expensive raw material to be reduced, and further enables such material to be excluded. Thus, the optical glass according to the present embodiment is also excellent in reduction of raw material cost.
From a viewpoint of a transmittance, the content rate of WO₃ is from 0% to 25%. A lower limit of this content rate may be more than 0%. An upper limit of this content rate is preferably 20%, more preferably 15%, further preferably 10%.
A ratio of the content rate of TiO₂ to the total content rate of P₂O₅, B₂O₃, and Al₂O₃ (TiO₂/(P₂O₅ + B₂O₃ + Al₂O₃)) is preferably from 0.25 to 0.85. A lower limit of this ratio is more preferably 0.30, further preferably 0.40. An upper limit of this ratio is more preferably 0.70, further preferably 0.60. When TiO₂/(P₂O₅ + B₂O₃ + Al₂O₃) falls within such range, a partial dispersion ratio can be increased.
A ratio of the content rate of TiO₂ to the total content rate of TiO₂, Nb₂O₅, WO₃, Bi₂O₃, and Ta₂O₅ (TiO₂/(TiO₂ + Nb₂O₅ + WO₃ + Bi₂O₃ + Ta₂O₅)) is preferably from 0.25 to 1.00. A lower limit of this ratio is more preferably 0.30, further preferably 0.40. An upper limit of this ratio is more preferably 0.90, further preferably 0.80. When TiO₂/(TiO₂ + Nb₂O₅ + WO₃ + Bi₂O₃ + Ta₂O₅) falls within such range, a partial dispersion ratio can be increased.
A ratio of the total content rate of BaO and TiO₂ to the content rate of P₂O₅ ((BaO + TiO₂)/P₂O₅) is preferably from 0.40 to 1.50. A lower limit of this ratio is more preferably 0.70. An upper limit of this ratio is more preferably 1.10, further preferably 0.90. When (BaO + TiO₂)/P₂O₅ falls within such range, a refractive index can be increased.
The optical glass according to the present embodiment may further contain, as any component, one or more compounds selected from the group consisting of Na₂O, K₂O, Li₂O, ZnO, MgO, CaO, SrO, SiO₂, ZrO₂, Sb₂O₃, Y₂O₃, La₂O₃, and Gd₂O₃.
Na₂O is a component that improves meltability and reduces a refractive index. When the content rate of Na₂O is excessively reduced, meltability is liable to be degraded. When the content rate of Na₂O is excessively increased, a refractive index is liable to be reduced, and chemical durability is liable to be degraded. From such a viewpoint, the content rate of Na₂O is from 0% to 30%. A lower limit of this content rate is preferably more than 0%, more preferably 5%. An upper limit of this content rate is preferably 20%, more preferably 15%. When the content rate of Na₂O falls within such range, meltability can be increased, and reduction of a refractive index and degradation of chemical durability can be prevented.
K₂O is a component that improves meltability and reduces a refractive index. When the content rate of K₂O is excessively reduced, meltability is liable to be degraded. When the content rate of K₂O is excessively increased, a refractive index is liable to be reduced, and chemical durability is liable to be degraded. From such a viewpoint, the content rate of K₂O is from 0% to 25%. A lower limit of this content rate is preferably more than 0%, more preferably 3%. An upper limit of this content rate is preferably 20%, more preferably 15%, further preferably 5%. When the content rate of K₂O falls within such range, meltability can be increased, and reduction of a refractive index and degradation of chemical durability can be prevented.
From a viewpoint of meltability, the content rate of Li₂O is from 0% to 5%. A lower limit of this content rate may be more than 0%. An upper limit of this content rate is preferably 4%, more preferably 2%.
ZnO is a component that improves devitrification resistance stability and reduces a partial dispersion ratio. When the content rate of ZnO is excessively reduced, devitrification resistance stability is liable to be degraded. When the content rate of ZnO is excessively increased, a partial dispersion ratio is liable to be reduced. From such a viewpoint, the content rate of ZnO is from 0% to 15%. A lower limit of this content rate is preferably more than 0%, more preferably 1%. An upper limit of this content rate is preferably 10%, more preferably 8%. When the content rate of ZnO falls within such range, devitrification resistance stability can be increased, and reduction of a partial dispersion ratio can be prevented.
From a viewpoint of achieving high dispersion, the content rate of MgO is from 0% to 10%. A lower limit of this content rate may be more than 0%. An upper limit of this content rate is preferably 5%, more preferably 4%.
From a viewpoint of achieving high dispersion, the content rate of CaO is from 0% to 10%. A lower limit of this content rate may be more than 0%. An upper limit of this content rate is preferably 8%, more preferably 6%.
From a viewpoint of achieving high dispersion, the content rate of SrO is from 0% to 15%. A lower limit of this content rate may be more than 0%. An upper limit of this content rate is preferably 12%, more preferably 10%.
From a viewpoint of meltability, the content rate of SiO₂ is from 0% to 5%. A lower limit of this content rate may be more than 0%. An upper limit of this content rate is preferably 3%, more preferably 1%.
From a viewpoint of meltability, the content rate of ZrO₂ is from 0% to 5%. A lower limit of this content rate may be more than 0%. An upper limit of this content rate is preferably 3% or less, more preferably 1.5%.
The content rate of Sb₂O₃ is, from a viewpoint of a defoaming property at the time of melting of glass, from 0% to 1%. A lower limit of this content rate may be more than 0%. An upper limit of this content rate is preferably 0.5%, more preferably 0.2%.
From a viewpoint of meltability, the content rate of Y₂O₃ is from 0% to 8%. A lower limit of this content rate may be more than 0%. An upper limit of this content rate is preferably 6%, more preferably 5%, further preferably 4.5%.
From a viewpoint of meltability, the content rate of La₂O₃ is from 0% to 5%. A lower limit of this content rate may be more than 0%. An upper limit of this content rate is preferably 4%, more preferably 3.5%. From a viewpoint of cost, La₂O₃ is more preferably substantially excluded. Here, "substantially excluded" means that the component is not contained as a constituent component that affects a property of a glass composition beyond a concentration in which the component is inevitably contained as an impurity. For example, when the content amount is approximately 100 ppm, the component is considered to be substantially excluded.
Gd₂O₃ is an expensive raw material, and hence the content rate thereof is preferably from 0% to 10%. A lower limit of this content rate may be more than 0%. An upper limit of this content rate is preferably 8%, more preferably 7.5%.
Furthermore, the optical glass according to the present embodiment preferably satisfies the following relationships.
A ratio of the content rate of TiO₂ to the content rate of P₂O₅ (TiO₂/P₂O₅) is preferably from 0.25 to 0.85. A lower limit of this ratio is more preferably 0.30, further preferably 0.40. An upper limit of this ratio is more preferably 0.75, further preferably 0.60. When TiO₂/P₂O₅ falls within such range, a partial dispersion ratio can be increased.
A ratio of the content rate of Al₂O₅ to the content rate of TiO₂ (Al₂O₃/TiO₂) is from 0 to 0.15. A lower limit of this ratio may be more than 0. An upper limit of this ratio is preferably 0.12, more preferably 0.09. When Al₂O₃/TiO₂ falls within such range, a partial dispersion ratio can be increased.
A ratio of the content rate of B₂O₃ to the content rate of P₂O₅ (B₂O₃/P₂O₅) is preferably 0 to 0.30. A lower limit of this ratio may be more than 0. An upper limit of this ratio is more preferably 0.25, further preferably 0.20. When B₂O₃/P₂O₅ falls within such range, a partial dispersion ratio can be increased.
A ratio of the total content rate of BaO, TiO₂, Nb₂O₅, WO₃, Bi₂O₃, and Ta₂O₅ to the total content rate of P₂O₅, B₂O₃, SiO₂, and Al₂O₃ ((BaO + TiO₂ + Nb₂O₅ + WO₃ + Bi₂O₃ + Ta₂O₅)/ (P₂O₅ + B₂O₃ + SiO₂ + Al₂O₃)) is preferably from 0.40 to 2.00. A lower limit of this ratio is more preferably 0.50, further preferably 0.60. An upper limit of this ratio is more preferably 1.60, further preferably 1.00. When (BaO + TiO₂ + Nb₂O₅ + WO₃ + Bi₂O₃ + Ta₂O₅) / (P₂O₅ + B₂O₃ + SiO₂ + Al₂O₃) falls within such a range, a partial dispersion ratio can be increased, and reduction of a refractive index can be prevented.
From a viewpoint of meltability, a refractive index, and chemical durability, the total content rate of Li₂O, Na₂O, and K₂O (ΣA₂O; where, A = Li, Na, K) is 5% to 35%. A lower limit of this total content rate is preferably 7%, more preferably 9%, further preferably 11%. An upper limit of this total content rate is preferably 25%, more preferably 20%, further preferably 18%.
A suitable combination of the content rates is the content rate of Li₂O: 0% or more and 5% or less, the content rate of Na₂O: 0% or more and 30% or less, and the content rate of K₂O: 0% or more and 25% or less. With the combination, meltability can be increased, and degradation of chemical durability can be prevented.
From a viewpoint of meltability, a refractive index, and chemical durability, the total content rate of MgO, CaO, SrO, BaO, and ZnO (ZEO; where, E = Mg, Ca, Sr, Ba, Zn) is 0% to 30%. A lower limit of this total content rate is preferably 5%, more preferably 8%, further preferably 10%. An upper limit of this total content rate is preferably 25%, more preferably 15%.
Another suitable combination is the content rate of BaO: 0% or more and 30% or less, the content rate of ZnO: 0% or more and 15% or less, the content rate of MgO: 0% or more and 10% or less, the content rate of CaO: 0% or more and 10% or less, and the content rate of SrO: 0% or more and 15% or less. With the combination, a partial dispersion ratio can be increased, and low dispersion can be prevented.
The total content rate of SiO₂ and B₂O₃ (SiO₂ + B₂O₃) is from 0% to 10%. A lower limit of this total content rate is preferably more than 0%, more preferably 1%, further preferably 2%. An upper limit of this total content rate is preferably 7%, more preferably 6%, further preferably 4%.
Still another suitable combination is the content rate of SiO₂: 0% or more and 5% or less and the content rate of B₂O₃: 0% or more and 10% or less. With the combination, meltability can be increased, and low dispersion can be prevented.
A ratio of the total content rate of Li₂O, Na₂O, and K₂O (ΣA₂O; where, A = Li, Na, K) to TiO₂ (ΣA₂O/TiO₂) is preferably from 0.10 to 2.00. A lower limit of this ratio is more preferably 0.20, further preferably 0.30. An upper limit of this ratio is more preferably 1.60, further preferably 1.30. When ΣA₂O/TiO₂ falls within such range, a partial dispersion ratio can be increased, and reduction of meltability can be prevented.
A ratio of the total content rate of Li₂O, Na₂O, and K₂O (ΣA₂O; where, A = Li, Na, K) to the total content rate of MgO, CaO, SrO, BaO, and ZnO (ZEO; where, E = Mg, Ca, Sr, Ba, Zn) (ΣEO/ΣA₂O) is preferably from 0 to 3.00. A lower limit of this ratio is preferably more than 0, more preferably 0.20, further preferably 0.80. An upper limit of this ratio is more preferably 2.00, further preferably 1.50. When ΣEO/ΣA₂O falls within such range, meltability can be increased, and reduction of a refractive index can be prevented.
For the purpose of, for example, performing fine adjustments of fining, coloration, decoloration, and optical constant values, a known component such as a fining agent, a coloring agent, a defoaming agent, and a fluorine compound may be added by an appropriate amount to the glass composition as needed. In addition to the above-mentioned components, other components may be added as long as the effect of the optical glass according to the present embodiment can be exerted.
A method of manufacturing the optical glass according to the present embodiment is not particularly limited, and a publicly known method may be adopted. Further, suitable conditions can be selected for the manufacturing conditions as appropriate. For example, there may be adopted a manufacturing method in which raw materials such as oxides, carbonates, nitrates, and sulfates are blended to obtain a target composition, melted at a temperature of preferably from 1,100 to 1,400 degrees Celsius, uniformed by stirring, subjected to defoaming, then poured in a mold, and molded. A lower limit of the melting temperature described above is more preferably 1200 degrees Celsius. An upper limit of the melting temperature is more preferably 1350 degrees Celsius, further preferably 1300 degrees Celsius. The optical glass thus obtained is processed to have a desired shape by performing reheat pressing or the like as needed, and is subjected to polishing. With this, a desired optical element is obtained.
A high-purity material with a small content rate of impurities is preferably used as the raw material. The high-purity material indicates a material including 99.85 mass% or more of a concerned component. By using the high-purity material, an amount of impurities is reduced, and hence an inner transmittance of the optical glass is likely to be increased.
Next, description is made on physical properties of the optical glass according to the present embodiment.
From a viewpoint of reduction in thickness of the lens, the optical glass according to the present embodiment preferably has a high refractive index (a refractive index (n_d) is large). However, in general, as the refractive index (n_d) is higher, the transmittance is liable to be reduced. In view of such a circumstance, the refractive index (n_d) of the optical glass according to the present embodiment with respect to a d-line preferably falls within a range from 1.60 to 1.85. A lower limit of the refractive index (n_d) is more preferably 1.65. An upper limit of the refractive index (n_d) is more preferably 1.80.
An abbe number (v_d) of the optical glass according to the present embodiment preferably falls within a range from 20 to 35. A lower limit of the abbe number (ν_d) is more preferably 22. An upper limit of the abbe number (v_d) is more preferably 30.
From a viewpoint of aberration correction of the lens, the optical glass according to the present embodiment preferably has a large partial dispersion ratio (P_g, _F). In view of such circumstance, the partial dispersion ratio (P_g, _F) of the optical glass according to the present embodiment is preferably 0.61 or more. A lower limit of the partial dispersion ratio (P_g, _F) is more preferably 0.62, further preferably 0.64. An upper limit of the partial dispersion ratio (P_g, _F) is not particularly limited, but may be, for example, 0.66.
From a viewpoint of aberration correction of the lens, the optical glass according to the present embodiment preferably has great abnormal dispersibility (ΔP_g, _F). In view of such circumstance, the value (ΔP_g, _F) indicating the abnormal dispersibility of the optical glass according to the present embodiment is preferably 0.015 or more. A lower limit of the value (ΔP_g, _F) indicating the abnormal dispersibility is more preferably 0.020, further preferably 0.030. An upper limit of the value (ΔP_g, _F) indicating the abnormal dispersibility is not particularly limited, but may be, for example, 0.055.
From the above-mentioned viewpoint, the optical glass according to the present embodiment can be suitably used as, for example, an optical element included in optical equipment. Such an optical element includes a mirror, a lens, a prism, a filter, and the like. Examples of an optical system in which the optical element described above is used include, for example, an objective lens, a condensing lens, an image forming lens, and an interchangeable camera lens. The optical system can be suitably used for an imaging device, such as a camera with an interchangeable lens and a camera with a non-interchangeable lens, and various optical devices such as a microscope device such as a fluorescence microscope and a multi-photon microscope. The optical device is not limited to the imaging device and the microscope described above, and also includes a telescope, a binocular, a laser range finder, a projector, and the like, which are not limited thereto. An example thereof will be described below.

FIG. 1 is a perspective view illustrating one example of an optical device according to the present embodiment as an imaging device. An imaging device 1 is a so-called digital single-lens reflex camera (a lens-interchangeable camera), and a photographing lens 103 (an optical system) includes, as a base material, an optical element including the optical glass according to the present embodiment. A lens barrel 102 is mounted to a lens mount (not illustrated) of a camera body 101 in a removable manner. An image is formed with light, which passes through the lens 103 of the lens barrel 102, on a sensor chip (solid-state imaging elements) 104 of a multi-chip module 106 arranged on a back surface side of the camera body 101. The sensor chip 104 is a so-called bare chip such as a CMOS image sensor, and the multi-chip module 106 is, for example, a Chip On Glass (COG) type module including the sensor chip 104 being a bare chip mounted on a glass substrate 105.
FIGS. 2 and 3 are schematic diagrams illustrating another example of the optical device according to the present embodiment as an imaging device. FIG. 2 illustrates a front view of an imaging device CAM, and FIG. 3 illustrates a back view of the imaging device CAM. The imaging device CAM is a so-called digital still camera (a fixed lens camera), and a photographing lens WL (an optical system) includes an optical element including the optical glass according to the present embodiment, as a base material.
When a power button (not illustrated) of the imaging device CAM is pressed, a shutter (not illustrated) of the photographing lens WL is opened, light from an object to be imaged (a body) is converged by the photographing lens WL and forms an image on imaging elements arranged on an image surface. An object image formed on the imaging elements is displayed on a liquid crystal monitor M arranged on the back of the imaging device CAM. A photographer decides composition of the object image while viewing the liquid crystal monitor M, then presses down a release button B1 to capture the object image with the imaging elements. The object image is recorded and stored in a memory (not illustrated).
An auxiliary light emitting unit EF that emits auxiliary light in a case that the object is dark and a function button B2 to be used for setting various conditions of the imaging device CAM and the like are arranged on the imaging device CAM.
A higher resolution, low chromatic aberration, and a smaller size are demanded for the optical system to be used in such digital camera or the like. In order to achieve such demands, it is effective to use glass with dispersion characteristics different from each other as the optical system. Particularly, glass that achieves both low dispersion and a higher partial dispersion ratio (P_g, _F) is highly demanded. From such a viewpoint, the optical glass according to the present embodiment is suitable as a member of such optical equipment. Note that, in addition to the imaging device described above, examples of the optical equipment to which the present embodiment is applicable include a projector and the like. In addition to the lens, examples of the optical element include a prism and the like.

FIG. 4 is a block diagram illustrating an example of a configuration of a multi-photon microscope 2 according to the present embodiment. The multi-photon microscope 2 includes an objective lens 206, a condensing lens 208, and an image forming lens 210. At least one of the objective lens 206, the condensing lens 208, and the image forming lens 210 includes an optical element including, as a base material, the optical glass according to the present embodiment. Hereinafter, description is mainly made on the optical system of the multi-photon microscope 2.
A pulse laser device 201 emits ultrashort pulse light having, for example, a near infrared wavelength (approximately 1,000 nm) and a pulse width of a femtosecond unit (for example, 100 femtoseconds). In general, ultrashort pulse light immediately after being emitted from the pulse laser device 201 is linearly polarized light that is polarized in a predetermined direction.
A pulse division device 202 divides the ultrashort pulse light, increases a repetition frequency of the ultrashort pulse light, and emits the ultrashort pulse light.
A beam adjustment unit 203 has a function of adjusting a beam diameter of the ultrashort pulse light, which enters from the pulse division device 202, to a pupil diameter of the objective lens 206, a function of adjusting convergence and divergence angles of the ultrashort pulse light in order to correct chromatic aberration (a focus difference) on an axis of a wavelength of light emitted from a sample S and the wavelength of the ultrashort pulse light, a pre-chirp function (group velocity dispersion compensation function) providing inverse group velocity dispersion to the ultrashort pulse light in order to correct the pulse width of the ultrashort pulse light, which is increased due to group velocity dispersion at the time of passing through the optical system, and the like.
The ultrashort pulse light emitted from the pulse laser device 201 have a repetition frequency increased by the pulse division device 202, and is subjected to the above-mentioned adjustments by the beam adjustment unit 203. The ultrashort pulse light emitted from the beam adjustment unit 203 is reflected on a dichroic mirror 204 in a direction toward a dichroic mirror, passes through the dichroic mirror 205, is converged by the objective lens 206, and is radiated to the sample S. At this time, an observation surface of the sample S may be scanned with the ultrashort pulse light through use of scanning means (not illustrated).
For example, when the sample S is subjected to fluorescence imaging, a fluorescent pigment by which the sample S is dyed is subjected to multi-photon excitation in an irradiated region with the ultrashort pulse light and the vicinity thereof on the sample S, and fluorescence having a wavelength shorter than a near infrared wavelength of the ultrashort pulse light (hereinafter, also referred to "observation light") is emitted.
The observation light emitted from the sample S in a direction toward the objective lens 206 is collimated by the objective lens 206, and is reflected on the dichroic mirror 205 or passes through the dichroic mirror 205 depending on the wavelength.
The observation light reflected on the dichroic mirror 205 enters a fluorescence detection unit 207. For example, the fluorescence detection unit 207 is formed of a barrier filter, a photo multiplier tube (PMT), or the like, receives the observation light reflected on the dichroic mirror 205, and outputs an electronic signal depending on an amount of the light. The fluorescence detection unit 207 detects the observation light over the observation surface of the sample S, in conformity with the ultrashort pulse light scanning on the observation surface of the sample S.
Note that, all the observation light emitted from the sample S in a direction toward the objective lens 206 may be detected by the fluorescence detection unit 211 by excluding the dichroic mirror 205 from the optical path. In that case, the observation light is de-scanned by a scanning means (not illustrated), passes through the dichroic mirror 204, is converged by the condensing lens 208, passes through a pinhole 209 provided at a position substantially conjugate to a focal position of the objective lens 206, passes through the image forming lens 210, and enters a fluorescence detection unit 211.
For example, the fluorescence detection unit 211 is formed of a barrier filter, a PMT, or the like, receives the observation light forming an image on a light formed by the image forming lens 210 reception surface of the fluorescence detection unit 211, and outputs an electronic signal depending on an amount of the light. The fluorescence detection unit 211 detects the observation light over the observation surface of the sample S, in conformity with the ultrashort pulse light scanning on the observation surface of the sample S.
The observation light emitted from the sample S in a direction opposite to the objective lens 206 is reflected on a dichroic mirror 212, and enters a fluorescence detection unit 213. The fluorescence detection unit 113 is formed of, for example, a barrier filter, a PMT, or the like, receives the observation light reflected on the dichroic mirror 212, and outputs an electronic signal depending on an amount of the light. The fluorescence detection unit 213 detects the observation light over the observation surface of the sample S, in conformity with the ultrashort pulse light scanning on the observation surface of the sample S.
The electronic signals output from the fluorescence detection units 207, 211, and 213 are input to, for example, a computer (not illustrated). The computer is capable of generating an observation image, displaying the generated observation image, storing data on the observation image, based on the input electronic signals.

FIG. 5 is a schematic diagram illustrating one example of a cemented lens according to the present embodiment. A cemented lens 3 is a compound lens including a first lens element 301 and a second lens element 302. The optical glass according to the present embodiment is used as at least one of the first lens element and the second lens element. The first lens element and the second lens element are joined through intermediation with a joining member 303. As the joining member 303, a publicly known adhesive agent or the like may be used. Note that, the "lens element" refers to each lens constituting a single lens or a cemented lens.
The cemented lens according to the present embodiment is effective in view of correction of chromatic aberration, and can be used suitably for the optical element, the optical system, and the optical device that are described above and the like. Furthermore, the optical system including the cemented lens can be used suitably for, especially, an interchangeable camera lens and an optical device. Note that, in the aspect described above, description is made on the cemented lens using the two lens elements. The present invention is however not limited thereto, and a cemented lens using three or more lens elements may be used. When the cemented lens uses three or more lens elements, it is only required that at least one of the three or more lens elements be formed by using the optical glass according to the present embodiment.

Examples

Next, description is made on Examples in the present invention and Comparative Examples. Note that, the present invention is not limited thereto.

The optical glasses in each example and each comparative example were produced by the following procedures. First, glass raw materials selected from oxides, hydroxides, phosphate compounds (phosphates, orthophosphoric acids, and the like), carbonates, nitrates, and the like were weighed so as to obtain the compositions (mass%) illustrated in each table. Next, the weighed raw materials were mixed and put in a platinum crucible, melted at a temperature of from 1,100 to 1,350 degrees Celsius, and uniformed by stirring. After defoaming, the resultant was lowered to an appropriate temperature, poured in a mold, annealed, and molded. In this manner, each sample was obtained.

FIG. 6 is a graph in which P_g,F and ν_d of Examples and Comparative Examples are plotted.

Refractive Index (n_d) and Abbe Number (ν_d)

The refractive index (n_d) and the abbe number (v_d) in each of the samples were measured and calculated through use of a refractive index measuring instrument (KPR-2000 manufactured by Shimadzu Device Corporation). n_d indicates a refractive index of the glass with respect to light of 587.562 nm. ν_d was obtained based on Expression (1) given below. n_c and n_F indicates refractive indexes of the glass with respect to light having a wavelength of 656.273 nm and light having a wavelength of 486.133 nm, respectively. $ν_{d} = (n_{d} - 1) / (n_{F} - n_{C})$

Partial Dispersion Ratio (P_g,_F)

The partial dispersion ratio (P_g,_F) in each of the samples indicates a ratio of partial dispersion (n_g - n_F) to main dispersion (n_F - nc), and was obtained based on Expression (2) given below. n_g indicates a refractive index of the glass with respect to light having a wavelength of 435.835 nm. A value of the partial dispersion ratio (P_g,_F) was truncated to the third decimal place. $P_{g, F} = (n_{g} - n_{F}) / (n_{F} - n_{C})$

Abnormal Dispersibility (ΔP_g,_F)

The abnormal dispersibility (ΔP_g,_F) of each sample indicates a deviation from a partial dispersion ratio standard line with reference to two types of glass of F2 and K7 as glass having normal dispersion. In other words, on coordinates with a partial dispersion ratio (P_g,_F) as a vertical axis and an abbe number ν_d as a horizontal axis, a difference in ordinate between a straight line connecting two types of glass and a value of glass to be compared is a deviation of the partial dispersion ratio, i.e., abnormal dispersibility (ΔP_g,_F). In the coordinate system described above, when a value of the partial dispersion ratio is located above the straight line connecting the types of glass as a reference, glass indicates positive abnormal dispersibility (+ΔP_g,F), and when the value is located below the straight line, glass indicates negative abnormal dispersibility (-ΔP_g,_F) . Note that, the abbe number ν_d and the partial dispersion ratio (Pg,F) of F2 and K7 are as follows.

F2: abbe number νd = 36.33, partial dispersion ratio (Pg,F) = 0.5834
K7: abbe number νd = 60.47, partial dispersion ratio (Pg,F) = 0.5429

_g

_F

Δ P_{g, F} = P_{g, F} - (- 0.0016777 \times ν_{d} + 0.6443513)

Tables 1 to 36 illustrate a composition of components by mass% in terms of an oxide and evaluation results of physical properties for optical glass of Examples and Comparative Examples. "ΣA₂O" in Expressions indicates a total content rate of Li₂O, Na₂O, and K₂O (A = Li, Na, K). "ΣEO" in Expressions indicates a total content rate of MgO, CaO, SrO, BaO, and ZnO (E = Mg, Ca, Sr, Ba, Zn). In the first to third comparative examples, the optical glass could not be obtained, and thus physical properties were "unmeasurable".

[Table 1]

MASS %	EXAMPLE 1	EXAMPLE 2	EXAMPLE 3	EXAMPLE 4
P₂O₅	43.11	44.31	45.40	42.92
SiO₂
B₂O₃
Li₂O
Na₂O	17.82	17.06	18.13	17.14
K₂O	7.21	7.42	8. 56	8.09
MgO
CaO
SrO
BaO	8.35	7.03	5.60	5.29
ZnO	2.24	2.31	1.54	1.45
Al₂O₃	1.52	1.56
TiO₂	19.64	20.19	20.68	20.09
ZrO₂
Nb₂O₅				4.94
Sb₂O₃	0.11	0.12	0.09	0.09
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃
Bi₂O₃
TOTAL	100.00	100.00	100.00	100.00
n_d	1.66633	1.67115	1.66813	1.68412
v _d	27.03	26.37	25.72	25.58
P_g,F	0.634	0.635	0.639	0.635
P_g,F	0.035	0.035	0.038	0.034
∑A₂O	25.03	24.48	26.69	25.23
∑EO	10.59	9.34	7.13	6.74
TiO₂/P₂O₅	0.46	0.46	0.46	0.47
Al₂O₃/TiO₂	0.08	0.08
B₂O₃/P₂O₃
TiO₂/(P₂O₅+B₂O₃+Al₂O₃)	0.44	0.44	0.46	0.47
TiO₂/(TiO₂+Nb₂O₆+WO₃+ Bi₂O₃+Ta₂O₅)	1.00	1.00	1.00	0.80
(BaO+TiO₂)/P₂O₅	0.65	0.61	0.58	0.59
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃)/ (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.63	0.59	0.58	0.71
∑ A₂O/ TiO₂	1.27	1.21	1.29	1.26
∑ EO/ ∑A₂O	0.42	0.38	0.27	0.27
SiO₂+B₂O₃

[Table 2]

MASS %	EXAMPLE 5	EXAMPLE 6	EXAMPLE 7	EXAMPLE 8
P₂O₅	45.09	43.78	48.14	44.83
SiO₂
B₂O₃		2.78
Li₂O			3.77
Na₂O	19.26	13.77	12.08	23.47
K₂O	6.59	7.33	8.05
MgO
CaO
SrO
BaO	8.43	8.48	6.02	5.60
ZnO		2.28	1.58	1.47
Al₂O₃		1.54
TiO₂	20.54	19.94	20.23	24.50
ZrO₂
Nb₂O₅
Sb₂O₃	0.09	0.12	0.13	0.12
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃
Bi₂O₃
TOTAL	100.00	100.00	100.00	100.00
n_d	1.66718	1.67654	1.68424	1.68975
v_d	26.14	27.26	25.52	25.11
P_g,F	0.637	0.630	0.638	0.636
P_g,F	0.036	0.032	0.036	0.033
∑A₂O	25.85	21.09	23.90	23.47
∑EO	8.43	10.75	7.60	7.08
TiO₂/P₂O₅	0.46	0.46	0.42	0.55
Al₂O₃/TiO₂		0.08
B₂O₃/P₂O₆		0.06
TiO₂/(P₂O₅+B₂O₃+Al₂O₃)	0.46	0.41	0.42	0.55
TiO₂/(TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	1.00	1.00	1.00	1.00
(BaO+TiO₂)/P₂O₅	0.64	0.65	0.55	0.67
(BaO+TiO₂+Nb₂O₅ +Ta₂0₅+WO₃+Bi₂O₃)/ (P₂O₅+B₂O₃+Si0₂+Al₂O₃)	0.64	0.59	0.55	0.67
∑ A₂O/TiO₂	1.26	1.06	1.18	0.96
∑ EO/∑ A₂O	0.33	0.51	0.32	0.30
SiO₂+B₂O₃		2. 78

[Table 3]

MASS %	EXAMPLE 9	EXAMPLE 10	EXAMPLE 11	EXAMPLE 12
P₂O₅	39.64	37.13	42. 22	42. 63
SiO₂
B₂O₃	3.68	3.45
Li₂O			1.77	1.20
Na₂O	18.83	13.34	10.70	13.92
K₂O	8.88	8.32	7.06	7.13
MgO
CaO
SrO
BaO	5.81	16.07	7.62	5.13
ZnO	1.59	1.49
Al₂O₃
TiO₂	21.47	20. 11	25. 75	29. 86
ZrO₂
Nb₂O₅			4. 76
Sb₂O₃	0.09	0.09	0.11	0.11
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃
Bi₂O₃
TOTAL	100.00	100.00	100.00	100.00
n_d	1.66080	1.68280	1.75149	1.74476
v_d	28.20	28.16	22.52	22.16
P_g,F	0.625	0.627	0.644	0.649
P_g,F	0.028	0.030	0.038	0.041
∑A₂O	27.71	21.66	19.53	22.26
∑EO	7.40	17.56	7.62	5.13
TiO₂/P₂O₅	0.54	0.54	0.61	0.70
Al₂O₃/TiO₂
B₂O₃/P₂O₅	0.09	0.09
TiO₂/(P₂O₆+B₂O₃+Al₂O₃)	0.50	0.50	0.61	0.70
TiO₂/(TiO₂+Nb₂O₆+WO₃+ Bi₂O₃+Ta₂O₅)	1.00	1.00	0.84	1.00
(BaO+TiO₂) /P₂0₅	0.69	0.97	0. 79	0.82
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃) / (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.63	0.89	0.90	0.82
∑ A₂O/TiO₂	1.29	1.08	0.76	0.75
∑ EO/ ∑ A₂O	0.27	0.81	0.39	0.23
SiO₂+B₂O₃	3.68	3.45

[Table 4]

MASS %	EXAMPLE 13	EXAMPLE 14	EXAMPLE 15	EXAMPLE 16
P₂O₅	38.46	42.50	41. 27	44. 38
SiO₂
B₂O₃	2.02
Li₂O		1.78	1.02	1.86
Na₂O	11.59	11.71	14.03	12.35
K₂O	13.08	7.11	6.06	7.43
MgO
CaO
SrO
BaO	5.27	5.37	5.04	5.29
ZnO	6.16
Al₂O₃
TiO₂	18.78	26.52	32.48	28.58
ZrO₂
Nb₂O₅
Sb₂O₃	0.11	0.11	0.10	0.12
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃
Bi₂O₃	4.52	4.90
TOTAL	100.00	100.00	100.00	100.00
n_d	1.67852	1.75015	1.75766	1.81066
v _d	27.26	22,30	21.99	23.02
P_g,F	0.630	0.645	0.647	0.634
P_g,F	0.031	0.039	0.039	0.028
∑A₂O	24.67	20.59	21.11	21.64
∑EO	11.43	5. 37	5. 04	5. 29
TiO₂/P₂O₅	0.49	0.62	0.79	0.64
Al₂O₃/TiO₂
B₂O₃/P₂O₅	0.05
TiO₂/(P₂O₅+B₂O₃+Al₂O₃)	0.46	0.62	0.79	0.64
TiO₂/(TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	0.81	0.84	1.00	1.00
(BaO+TiO₂)/P₂O₅	0.63	0.75	0.91	0.76
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃) / (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.71	0.87	0.91	0.76
∑ A₂O/TiO₂	1.31	0.78	0.65	0.76
∑ EO/∑ A₂O	0.46	0.26	0.24	0.24
SiO₂+B₂O₃	2.02

[Table 5]

MASS %	EXAMPLE 17	EXAMPLE 18	EXAMPLE 19	EXAMPLE 20
P₂O₅	45.00	44.32	43.47	42.87
SiO₂
B₂O₃
Li₂O	2.60
Na₂O		19.27	17.97	17. 72
K₂O	19. 87	7.42	7.27	7. 17
Mg O
CaO
SrO
BaO	11.86	5.49	6.17	6.09
ZnO	2.34	1.49	2.26	2.23
Al₂O₃	1.80
TiO₂	16.41	18.57	18.22	17.97
ZrO₂
Nb₂O₅		2.68
Sb₂O₃	0.12	0.06	0.06	0.06
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃		0.70	4.59	4.52
Bi₂O₃				1.36
TOTAL	100.00	100.00	100.00	100.00
n_d	1.65697	1.66138	1.66615	1.66908
v _d	28.39	26.85	26.50	26.50
P_g,F	0.627	0.631	0.633	0.635
P_g,F	0.030	0.032	0.033	0.035
∑ A₂O	22.48	26. 68	25. 24	24. 89
∑ EO	14.20	6.98	8.43	8.32
TiO₂/P₂O₅	0.36	0.42	0.42	0.42
Al₂O₃/TiO₂	0.11
B₂O₃/P₂O₅
TiO₂/(P₂O₅+B₂O₃+Al₂O₃)	0.35	0.42	0.42	0.42
TiO₂/(TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	1.00	0.85	0.80	0.75
(BaO+TiO₂)/P₂O₅	0.63	0.54	0.56	0.56
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃)/ (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.60	0.62	0.67	0.70
∑ A₂O/TiO₂	1.37	1.44	1.39	1.39
∑ EO/ ∑A₂O	0.63	0.26	0.33	0.33
SiO₂+B₂O₃

[Table 6]

MASS %	EXAMPLE 21	EXAMPLE 22	EXAMPLE 23	EXAMPLE 24
P₂O₅	44.34	41.09	46.69	45.90
SiO₂		1.11
B₂O₃
Li₂O		0.61	0.69	0.68
Na₂O	18.32	12.42	14.11	13.87
K₂O	7.42	7.74	8.80	8.65
MgO			4.40
CaO				6.02
SrO
BaO	6.30	21.81	8.02	7.89
ZnO	2.31
Al₂O₃
TiO₂	18.58	15.11	17.17	16.88
ZrO₂
Nb₂O₅	2.68
Sb₂O₃	0.06	0.11	0.12	0.12
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃
Bi₂O₃
TOTAL	100.00	100.00	100.00	100.00
n_d	1.66545	1.66162	1.65551	1.65787
v _d	26.72	28.95	28.23	28.57
P_g,F	0.633	0.630	0.633	0.631
P_g,F	0.034	0.034	0.036	0.034
∑ A₂O	25.74	20.76	23.59	23.19
∑ EO	8.60	21.81	12.43	13.91
TiO₂/P₂O₅	0.42	0.37	0.37	0.37
Al₂0₃/TiO₂
B₂0₃/P₂O₅
TiO₂/(P₂O₅+B₂O₃+Al₂O₃)	0.42	0.37	0.37	0.37
TiO₂/(TiO₂+Nb₂O₅+WO₃+ Bi₂0₃+Ta₂O₅)	0.87	1.00	1.00	1.00
(BaO+TiO₂)/P₂O₅	0.56	0.90	0.54	0.54
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃)/ (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.62	0.87	0.54	0.54
∑ A₂O/TiO₂	1.39	1.37	1.37	1.37
∑ EO/ΣA₂O	0.33	1.05	0.53	0.60
SiO₂+B₂O₃		1.11

[Table 7]

MASS %	EXAMPLE 25	EXAMPLE 26	EXAMPLE 27	EXAMPLE 28
P₂O₅	43.67	40.86	40.93	40.86
SiO₂
B₂O₃
Li₂O	0.64	0.60	0.60	0.60
Na₂O	13.19	12.35	12.37	12.35
K₂O	8.23	7.70	7.71	7.70
MgO
CaO
SrO	10.59
BaO	7.51	21.69	21.72	21.69
ZnO
Al₂O₃
TiO₂	16.06	15.03	15.05	15.03
ZrO₂
Nb₂O₅
Sb₂O₃	0.12	0.11	0.11	0.11
Ta₂O₅
Y₂O₃		1.66
La₂O₃			1.50
Gd₂O₃				1.67
WO₃
Bi₂O₃
TOTAL	100.00	100.00	100.00	100.00
n_d	1.65953	1.66630	1.66633	1.66635
v_d	28.67	29.13	29.05	28.96
Pg,_F	0.631	0.630	0.630	0.631
P_g,F	0.035	0.035	0.034	0.035
∑A₂O	22.06	20.65	20.68	20.65
∑EO	18.09	21.69	21.72	21.69
TiO₂/P₂O₅	0.37	0.37	0.37	0.37
Al₂O₃/TiO₂
B₂0₃/P₂0₅
TiO₂/ (P₂O₃+B₂O₃+Al₂O₃)	0.37	0.37	0.37	0.37
TiO₂/ (TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	1.00	1.00	1.00	1.00
(Ba0+Ti0₂)/P₂0₅	0.54	0.90	0.90	0.90
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃)/ (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.54	0.90	0.90	0.90
∑ A₂O/TiO₂	1.37	1.37	1.37	1.37
∑ EO/ΣA₂O	0.82	1.05	1.05	1.05
SiO₂+B₂O₃

[Table 8]

MASS %	EXAMPLE 29	EXAMPLE 30	EXAMPLE 31	EXAMPLE 32
P₂O₅	40. 96	41. 13	41.60	44. 31
SiO₂
B₂O₃
Li₂O	0.60	0.61	0.61
Na₂O	12.38	12.43	12.57	17.06
K₂O	7.72	7.75	7.84	7.42
MgO
CaO
SrO
BaO	21.74	21.83	22.08	7.03
ZnO				2.31
Al₂O₃				1.56
TiO₂	15.06	15.13	15.30	20.19
ZrO₂		1.03
Nb₂O₅
Sb₂O₃	0.11	0.11		0.12
Ta₂O₅	1.42
Y₂O₃
La₂O₃
Gd₂O₃
WO₃
Bi₂O₃
TOTAL	100.00	100.00	100.00	100.00
n_d	1.66723	1.66720	1.66413	1.67115
ν _d	28.70	28.96	28.76	26.37
P_g,F	0.630	0.632	0.633	0.635
P_g,F	0.034	0.036	0.036	0.035
∑ A₂O	20.70	20.78	21.02	24.48
∑ EO	21.74	21.83	22.08	9.34
TiO₂/P₂O₅	0.37	0.37	0.37	0.46
Al₂0₃/Ti0₂				0.08
B₂O₃/P₂O₅
TiO₂/(P₂O₅+B₂O₃+Al₂O₃)	0.37	0.37	0.37	0.44
TiO₂/(TiO₂+Nb₂O₆+WO₃+ Bi₂O₃+Ta₂O₅)	0.91	1.00	1.00	1.00
(BaO+TiO₂)/P₂O₅	0.90	0.90	0.90	0.61
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃)/ (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.93	0.90	0.90	0.59
∑ A₂O/TiO₂	1.37	1.37	1.37	1.21
∑ EO/ ∑A₂O	1.05	1.05	1.05	0.38
SiO₂+B₂O₃

[Table 9]

MASS %	EXAMPLE 33	EXAMPLE 34	EXAMPLE 35	EXAMPLE 36
P₂O₅	45.40	42.92	45.09	43.78
SiO₂
B₂O₃				2.78
Li₂O
Na₂O	18.13	17.14	19.26	13.77
K₂O	8.56	8.09	6.59	7.33
MgO
CaO
SrO
BaO	5.60	5.29	8.43	8.48
ZnO	1.54	1.45		2.28
Al₂O₃				1.54
TiO₂	20.68	20.09	20.54	19.94
ZrO₂
Nb₂O₅		4.94
Sb₂O₃	0.09	0.09	0.09	0.12
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃
Bi₂O₃
TOTAL	100.00	100.00	100.00	100.00
n_d	1.66813	1.68412	1.66718	1.67654
Vd	25.72	25.58	26.14	27.26
P_g,F	0.639	0.635	0.637	0.630
P_g,F	0.038	0.034	0.036	0.032
∑ A₂O	26.69	25.23	25.85	21.09
∑ EO	7.13	6.74	8.43	10.75
TiO₂/P₂O₅	0.46	0.47	0.46	0.46
Al₂O₃/TiO₂				0.08
B₂O₃/P₂O₅				0.06
TiO₂/(P₂O₃+B₂O₃+Al₂O₃)	0.46	0.47	0.46	0.41
TiO₂/(TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	1.00	0.80	1.00	1.00
(BaO+TiO₂)/P₂O₅	0.58	0.59	0.64	0.65
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃)/ (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.58	0.71	0.64	0.59
∑ A₂O/TiO₂	1.29	1.26	1.26	1.06
∑ EO/ ∑ A₂O	0.27	0.27	0.33	0.51
SiO₂+B₂O₃				2.78

[Table 10]

MASS %	EXAMPLE 37	EXAMPLE 38	EXAMPLE 39	EXAMPLE 40
P₂O₅	48.14	44.83	39.64	37.13
SiO₂
B₂O₃			3.68	3.45
Li₂O	3.77
Na₂O	12.08	23.47	18.83	13.34
K₂O	8.05		8.88	8.32
MgO
CaO
SrO
BaO	6.02	5.60	5.81	16.07
ZnO	1.58	1.47	1.59	1.49
Al₂O₃
TiO₂	20.23	24.50	21.47	20.11
ZrO₂
Nb₂O₅
Sb₂O₃	0.13	0.12	0.09	0.09
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃
Bi₂O₃
TOTAL	100.00	100.00	100.00	100.00
n_d	1.68424	1.68975	1.66080	1.68280
ν _d	25.52	25.11	28.20	28.16
P_g,F	0.638	0.636	0.625	0.627
P_{g, F}	0.036	0.033	0.028	0.030
∑A₂O	23.90	23.47	27.71	21.66
∑EO	7.60	7.08	7.40	17.56
TiO₂/P₂O₅	0.42	0. 55	0.54	0.54
Al₂O₃/TiO₂
B₂O₃/P₂O₅			0.09	0.09
TiO₂/(P₂O₅+B₂O₃+Al₂O₃)	0.42	0.55	0.50	0.50
TiO₂/(TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	1.00	1.00	1.00	1.00
(BaO+TiO₂)/P₂O₅	0.55	0.67	0.69	0.97
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃)/ (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.55	0.67	0.63	0.89
∑ A₂O/TiO₂	1.18	0.96	1.29	1.08
∑ EO/∑ A₂O	0.32	0.30	0.27	0.81
SiO₂+B₂O₃			3.68	3.45

[Table 11]

MASS %	EXAMPLE 41	EXAMPLE 42	EXAMPLE 43	EXAMPLE 44
P₂O₅	35.25	34. 54	32.62	35.11
SiO₂
B₂O₃
Li₂O	0.99	0.97	0.92
Na₂O	11.51	11.28	10.65	11.92
K₂O	5.90	5.78	5.46	5.18
MgO
CaO
SrO
BaO
ZnO
Al₂O₃	1.81	1.77	1.67	1.59
TiO₂	20.57	20.16	17.09	16.23
ZrO₂
Nb₂O₅
Sb₂O₃	0.09	0.09	0.09	0.08
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃	7.80	5.66	9.09	8.63
Bi₂O₃	16.08	19.75	22.41	21.27
TOTAL	100.00	100.00	100.00	100.00
n_d	1.76276	1.76663	1.77271	1.75803
ν _d	23.06	23.25	23.37	23.44
P_{g, F}	0.639	0.637	0.636	0.638
P_{g, F}	0.034	0.032	0.030	0.033
∑ A₂O	18.40	18.03	17.03	17.10
∑ EO
TiO₂/P₂O₅	0.58	0.58	0.52	0.46
Al₂O₃/TiO₂	0.09	0.09	0.10	0.10
B₂O₃/P₂O₅
TiO₂/(P₂O₅+B₂O₃+Al₂O₃)	0.56	0.56	0.50	0.44
TiO₂/(TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	0.46	0.44	0.35	0.35
(BaO+TiO₂) /P₂O₅	0.58	0.58	0.52	0.46
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃)/ (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	1.20	1.25	1.42	1.26
∑ A₂O/TiO₂	0.89	0.89	1.00	1.05
∑ EO/ ΣA₂O
SiO₂+B₂O₃

[Table 12]

MASS %	EXAMPLE 45	EXAMPLE 46	EXAMPLE 47	EXAMPLE 48
P₂O₅	30.71	36.47	37.93	30.35
SiO₂
B₂O₃
Li₂O
Na₂O	10.03	12.38	12.88	9.91
K₂O	5.14	5.38	5.60	5.08
MgO
CaO
SrO
BaO
ZnO
Al₂O₃	1.57	1.65	1.71	1.55
TiO₂	16.09	16.85	17.53	15.31
ZrO₂
Nb₂O₅
Sb₂O₃	0.08	0.09	0.09	0.08
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃	15.28	12.80	17.31	16.85
Bi₂O₃	21.10	14.39	6.95	20.86
TOTAL	100.00	100.00	100.00	100.00
n_d	1.78911	1.74422	1.72734	1.78605
ν_d	22.50	23.56	23.89	22.69
P_g,F	0.639	0.638	0.637	0.637
P_g,F	0.033	0.033	0.033	0.031
∑A₂O	15.17	17.76	18.48	14.99
∑EO
TiO₂/P₂O₅	0.52	0.46	0.46	0.50
Al₂O₃/TiO₂	0.10	0.10	0.10	0.10
B₂O₃/P₂O₅
TiO₂/ (P₂O₅+B₂O₃+Al₂O₃)	0.50	0.44	0.44	0.48
TiO₂/ (TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	0.31	0.38	0.42	0.29
(BaO+TiO₂) /P₂O₅	0.52	0.46	0.46	0.50
(BaO+TiO₂+Nb₂O₅ +Ta₂O₃+WO₃+Bi₂O₃) / (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	1.63	1.16	1.05	1.66
∑ A₂O/TiO₂	0.94	1.05	1.05	0.98
∑ EO/ ∑ A₂O
SiO₂+B₂O₃

[Table 13]

MASS %	EXAMPLE 49	EXAMPLE 50	EXAMPLE 51	EXAMPLE 52
P₂O₅	33.24	29.67	38.86	36.59
SiO₂
B₂O₃
Li₂O	0.94		1.62	2.90
Na₂O	14.51	7.41	12.69	15.98
K₂O		4.97	6.50
MgO
CaO
SrO
BaO		5.64
ZnO
Al₂O₃	1.70	1.52
TiO₂	17.42	15.55	21.88	19.18
ZrO₂
Nb₂O₅
Sb₂O₃	0.09	0.08	0.10	0.10
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃	9.27	14.77
Bi₂O₃	22.84	20.39	18.34	25.27
TOTAL	100.00	100.00	100.00	100.00
n_d	1.77604	1.80301	1.75238	1.75526
v _d	23.54	22.62	23.10	24.47
P_g,F	0.634	0.638	0.639	0.629
P_g,F	0.029	0.031	0.033	0.026
∑A₂O	15.45	12.38	20.82	18.87
∑EO		5.64
TiO₂/P₂O₅	0.52	0.52	0.56	0.52
Al₂O₃/TiO₂	0.10	0.10
B₂O₃/P₂O₅
TiO₂/ (P₂O₅+B₂O₃+Al₂O₃)	0.50	0.50	0.56	0.52
TiO₂/ (TiO₂+Nb₂O₆+WO₃+ Bi₂O₃+Ta₂O₅)	0.35	0.31	0.54	0.43
(BaO+TiO₂) /P₂O₅	0.52	0.71	0.56	0.52
(BaO+TiO₂+Nb₂O₅ +Ta₂O₃+WO₃+Bi₂O₃) / (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	1.42	1.81	1.03	1.21
∑ A₂O/TiO₂	0.89	0.80	0.95	0.98
∑ EO/∑ A₂O		0.46
SiO₂+B₂O₃

[Table 14]

MASS %	EXAMPLE 53	EXAMPLE 54	EXAMPLE 55	EXAMPLE 56
P₂O₅	28.71	42.65	36.90	42.21
SiO₂			1.09
B₂O₃
Li₂O		2.47	1.54
Na₂O	4.97		9.35	14.33
K₂O	4.80	18.83	6.17	6.23
MgO
CaO
SrO
BaO	10.91	11.23	6.66
ZnO		2.22		2.14
Al₂O₃	1.47	1.50
TiO₂	15.05	15.55	20.77	22.19
ZrO₂
Nb₂O₅
Sb₂O₃	0.08	0.11	0.10	0.10
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃	14.29
Bi₂O₃	19.73	5.43	17.41	12.80
TOTAL	100.00	100.00	100.00	100.00
n_d	1.81066	1.67374	1.76767	1.73607
ν_d	23.02	27.62	22.94	22.88
P_g,F	0.634	0.627	0.640	0.639
P_g.F	0.028	0.029	0.035	0.033
∑ A₂O	9.77	21.30	17.07	20.56
∑ EO	10.91	13.46	6.66	2.14
TiO₂/P₂O₅	0.52	0.36	0.56	0.53
Al₂O₃/TiO₂	0.10	0.10
B₂O₃/P₂O₅
TiO₂/(P₂O₅+B₂O₃+Al₂O₃)	0.50	0.35	0.56	0.53
TiO₂/ (TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	0.31	0.74	0.54	0.63
(BaO+TiO₂)/P₂O₅	0.90	0.63	0.74	0.53
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃)/ (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	1.99	0.73	1.18	0.83
∑ A₂O/TiO₂	0.65	1.37	0.82	0.93
∑ EO/∑ A₂O	1.12	0.63	0.39	0.10
SiO₂+B₂O₃			1.09

[Table 15]

MASS %	EXAMPLE 57	EXAMPLE 58	EXAMPLE 59	EXAMPLE 60
P₂O₅	29.37	29.41	29.31	29.01
SiO₂
B₂O₃	1.01
Li₂O
Na₂O	7.34	7.35	7.32	7.25
K₂O	4.92	4.92	4.90	4.85
MgO		0.88
CaO			1.22
SrO				2.23
BaO	5.58	5.59	5.57	5.51
ZnO
Al₂O₃	1.50	1.51	1.50	1.49
TiO₂	15.40	15.42	15. 36	15.21
ZrO₂
Nb₂O₅
Sb₂O₃	0.08	0.08	0.08	0.08
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃	14.62	14.64	14.59	14.44
Bi₂O₃	20.18	20.21	20.14	19.93
TOTAL	100.00	100.00	100.00	100.00
n_d	1.79468	1.79736	1.79719	1.79614
ν_d	23.17	23.06	23.21	23.29
P_g,F	0.634	0.637	0.636	0.635
P_g,F	0.029	0.031	0.031	0.030
∑ A₂O	12.25	12.27	12.23	12.10
∑ EO	5.58	6.47	6.79	7.75
TiO₂/P₂O₅	0.52	0.52	0.52	0.52
Al₂O₃/TiO₂	0.10	0.10	0.10	0.10
B₂O₃/P₂O₅	0.03
TiO₂/ (P₂O₆+B₂O₃+Al₂O₃)	0.48	0.50	0.50	0.50
TiO₂/ (TiO₂+Nb₂O₆+WO₃+ Bi₂O₃+Ta₂O₅)	0.31	0.31	0.31	0.31
(BaO+TiO₂) /P₂O₅	0.71	0.71	0.71	0.71
(BaO+TiO₂+Nb₂O₅ +Ta₂O₃+WO₃+Bi₂O₃) / (P₂O₅+B₂₁O₃+SiO₂+Al₂O₃)	1.75	1.81	1.81	1.81
∑ A₂O/TiO₂	0.80	0.80	0.80	0.80
∑ EO/ ∑ A₂O	0.46	0.53	0.56	0.64
SiO₂+B₂O₃	1.01

[Table 16]

MASS %	EXAMPLE 61	EXAMPLE 62	EXAMPLE 63	EXAMPLE 64
P₂O₅	29.41	29.11	28.74	29.19
SiO₂
B₂O₃
Li₂O
Na₂O	7.34	7.27	7.18	7.29
K₂O	4.92	4.87	4.81	4.88
MgO
CaO
SrO
BaO	5.59	5.53	5.46	5.55
ZnO
Al₂O₃	1.51	1.49	1.47	1.50
TiO₂	15.41	15.25	15.06	15.30
ZrO₂	0.90
Nb₂O₅		1.92
Sb₂O₃	0.08	0.08	0.08	0.08
Ta₂O₅			3.15
Y₂O₃				1.63
La₂O₃
Gd₂O₃
WO₃	14.64	14.48	14.30	14.53
Bi₂O₃	20.21	20.00	19.75	20.06
TOTAL	100.00	100.00	100.00	100.00
n_d	1.79949	1.80754	1.80652	1.79792
ν_d	23.01	22.57	22.70	23.21
P_g,F	0.635	0.637	0.634	0.636
P_g,F	0.029	0.031	0.027	0.030
∑ A₂O	12.27	12.14	11.99	12.17
∑ EO	5.59	5.53	5.46	5.55
TiO₂/P₂O₅	0.52	0.52	0.52	0.52
Al₂O₃/TiO₂	0.10	0.10	0.10	0.10
B₂O₃/P₂O₅
TiO₂/ (P₂O₅+B₂O₃+Al₂O₃)	0.50	0.50	0.50	0.50
TiO₂/ (TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	0.31	0. 30	0. 29	0.31
(BaO+TiO₂) /P₂O₅	0.71	0.71	0.71	0.71
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃) / (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	1.81	1.87	1.91	1.81
∑ A₂O/TiO₂	0.80	0.80	0.80	0.80
∑ EO/ ∑ A₂O	0.46	0.46	0.46	0.46
SiO₂+B₂O₃

[Table 17]

MASS %	EXAMPLE 65	EXAMPLE 66	EXAMPLE 67	EXAMPLE 68
P₂O₅	28.90	29.36	28.73	28.66
SiO₂
B₂O₃
Li₂O
Na₂O	7.22	7.33	7.17	7.16
K₂O	4.84	4.91	4.81	4.80
Mg O
CaO
SrO
BaO	5.49	5.58	5.46	5.45
ZnO
Al₂O₃	1.48	1. 50	1. 47	1. 47
TiO₂	15.15	15.39	15.06	15.02
ZrO₂
Nb₂O₅			4.92	15.01
Sb₂O₃	0.08	0.08
Ta₂O₅
Y₂O₃
La₂O₃		1.07
Gd₂O₃	2.60
WO₃	14.38	14.61	12.65	2.74
Bi₂O₃	19.86	20.17	19.74	19.70
TOTAL	100.00	100.00	100.00	100.00
n_d	1.80073	1.80153	1.81591	1.83290
ν _d	23.13	22.91	22.36	21.96
P_g,F	0.634	0.632	0.639	0.638
P_g,F	0.028	0.026	0.032	0.031
∑ A₂O	12.06	12.24	11.98	11.96
∑ EO	5.49	5.58	5.46	5.45
TiO₂/P₂O₅	0.52	0.52	0.52	0.52
Al₂O₃/TiO₂	0.10	0.10	0.10	0.10
B₂O₃/P₂O₅
TiO₂/ (P₂O₅+B₂O₃+Al₂O₃)	0.50	0.50	0.50	0.50
TiO₂/ (TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	0.31	0.31	0.29	0.29
(BaO+TiO₂)/P₂O₅	0.71	0.71	0.71	0.71
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃) / (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	1.81	1.81	1.91	1.92
∑ A₂O/TiO₂	0.80	0.80	0.80	0.80
∑ EO/ ∑ A₂O	0.46	0.46	0.46	0.46
SiO₂+B₂O₃

[Table 18]

MASS %	EXAMPLE 69	EXAMPLE 70	EXAMPLE 71	EXAMPLE 72
P₂O₅	45.89	46.96	45.20	44.85
SiO₂
B₂O₃
Li₂O
Na₂O	18.96	19.41	18.68	17.27
K₂O	7.68	7.86	7.56	9.43
MgO
CaO
SrO
BaO	4.08	4.17	4.02	3.99
ZnO	2.39	2.44	2.35	2.33
Al₂O₃	1.62	1.66	1.59	1.58
TiO₂	19.39	17.51	20.59	20.43
ZrO₂
Nb₂O₅
Sb₂O₃				0.12
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃
Bi₂O₃
TOTAL	100.00	100.00	100.00	100.00
n_d	1.61155	1.63762	1.65940	1.66443
ν_d	31.26	28.58	26.87	26.27
P_g,F	0.618	0.627	0.633	0.636
P_g,F	0.027	0.031	0.033	0.036
∑ A₂O	26.64	27.26	26.24	26.70
∑ EO	6.47	6.62	6.37	6.32
TiO₂/P₂O₅	0.42	0.37	0.46	0.46
Al₂O₃/TiO₂	0.08	0.09	0.08	0.08
B₂O₃/P₂O₅
TiO₂/ (P₂O₅+B₂O₃+Al₂O₃)	0.41	0.36	0.44	0.44
TiO₂/ (TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	1.00	1.00	1.00	1.00
(BaO+TiO₂)/P₂O₅	0.51	0.46	0.54	0.54
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃) / (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.49	0.45	0.53	0.53
∑ A₂O/TiO₂	1.37	1.56	1.27	1.31
∑ EO/ ∑ A₂O	0.24	0.24	0.24	0.24
SiO₂+B₂O₃

[Table 19]

MASS %	EXAMPLE 73	EXAMPLE 74	EXAMPLE 75	EXAMPLE 76
P₂O₅	45.11	47.45	44.73	44.20
SiO₂			0.92
B₂O₃	0.71			2.10
Li₂O
Na₂O	18.01	17.88	18.49	18.27
K₂O	7.55	7.24	7.49	7.40
Mg O
CaO
SrO
BaO	4.01	3.84	3.98	3.93
ZnO	2.35	2.25	2.33	2.30
Al₂O₃	1.59	1.52	1.58	1.56
TiO₂	20.55	19.70	20.38	20.13
ZrO₂
Nb₂O₅
Sb₂O₃	0.12	0.11	0.12	0.12
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃
Bi₂O₃
TOTAL	100.00	100.00	100.00	100.00
n_d	1.66496	1.66163	1.66204	1.65893
ν_d	26.67	26.47	26.63	27.67
P_g,F	0.633	0.634	0.633	0.629
P_g,F	0.033	0.034	0.034	0.031
∑ A₂O	25.56	25.11	25.97	25.66
∑ EO	6.36	6.10	6.30	6.23
TiO₂/P₂O₅	0.46	0.42	0.46	0.46
Al₂O₃/TiO₂	0.08	0.08	0.08	0.08
B₂O₃/P₂O₅	0.02			0.05
TiO₂/ (P₂O₅+B₂O₃+Al₂O₃)	0.43	0.40	0.44	0.42
TiO₂/ (TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	1.00	1.00	1.00	1.00
(BaO+TiO₂)/P₂O₅	0.54	0. 50	0.54	0.54
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃) / (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.52	0.48	0.52	0.50
∑ A₂O/TiO₂	1.24	1.27	1.27	1.27
∑ EO/ ∑ A₂O	0.25	0.24	0.24	0.24
SiO₂+B₂O₃	0.71		0.92	2.10

[Table 20]

MASS %	EXAMPLE 77	EXAMPLE 78	EXAMPLE 79	EXAMPLE 80
P₂O₅	44.73	44.30	43.87	44.59
SiO₂
B₂O₃
Li₂O	0.91
Na₂O	18.49	20.18	18.13	18.43
K₂O	7.49	7.41	10.16	7.46
MgO				1.23
CaO
SrO
BaO	3.98	3.94	3.90	3.96
ZnO	2.33	2.31	2.28	2.32
Al₂O₃	1.58	1.56	1.55	1.57
TiO₂	20.38	20.18	19.99	20.31
ZrO₂
Nb₂O₅
Sb₂O₃	0.12	0.12	0.12	0.12
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃
Bi₂O₃
TOTAL	100.00	100.00	100.00	100.00
n_d	1.66592	1.65721	1.65541	1.66062
ν_d	26.59	27.16	27.01	27.17
P_g,F	0.635	0.632	0.634	0.630
P_g,F	0.035	0.033	0.035	0.031
∑ A₂O	26.89	27.60	28.30	25.89
∑ EO	6.30	6.24	6.18	7.51
TiO₂/P₂O₅	0.46	0.46	0.46	0.46
Al₂O₃/TiO₂	0.08	0.08	0.08	0.08
B₂O₃/P₂O₅
TiO₂/(P₂O₅+B₂O₃+Al₂O₃)	0.44	0.44	0.44	0.44
TiO₂/(TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	1.00	1.00	1.00	1.00
(BaO+TiO₂)/P₂O₅	0.54	0.54	0.54	0.54
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃)/ (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.53	0.53	0.53	0.53
∑ A₂O/TiO₂	1.32	1.37	1.42	1.27
∑ EO/ ∑ A₂O	0.23	0.23	0.22	0.29
SiO₂+B₂O₃

[Table 21]

MASS %	EXAMPLE 81	EXAMPLE 82	EXAMPLE 83	EXAMPLE 84
P₂O₅	44.38	43.11	44.04	44.06
SiO₂
B₂O₃
Li₂O
Na₂O	18.34	17.82	18.20	18.21
K₂O	7.43	7.21	7.37	7.37
MgO
CaO	1.70
SrO
BaO	3.94	8.35	3.91	3.92
ZnO	2.31	2.24	4.74	2.29
Al₂O₃	1.56	1.52	1.55	1.55
TiO₂	20.22	19.64	20.06	22.48
ZrO₂
Nb₂O₅
Sb₂O₃	0.12	0.11	0.12	0.12
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃
Bi₂O₃
TOTAL	100.00	100.00	100.00	100.00
n_d	1.66410	1.66633	1.66526	1.67912
ν_d	27.00	27.03	26.78	25.50
P_g,F	0.633	0.634	0.633	0.637
P_g,F	0.034	0.035	0.034	0.035
∑ A₂O	25.77	25.03	25.57	25.58
∑ EO	7.95	10.59	8.65	6.21
TiO₂/P₂O₅	0.46	0.46	0.46	0.51
Al₂O₃/TiO₂	0.08	0.08	0.08	0.07
B₂O₃/P₂O₅
TiO₂/ (P₂O₅+B₂O₃+Al₂O₃)	0.44	0.44	0.44	0.49
TiO₂/ (TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	1.00	1.00	1.00	1.00
(BaO+TiO₂) /P₂O₅	0.54	0.65	0. 54	0.60
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃)/ (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.53	0.63	0.53	0.58
∑ A₂O/TiO₂	1.27	1.27	1.27	1.14
∑ EO/ ∑ A₂O	0.31	0.42	0.34	0.24
SiO₂+B₂O₃

[Table 22]

MASS %	EXAMPLE 85	EXAMPLE 86	EXAMPLE 87	EXAMPLE 88
P₂O₅	44.58	42.13	39.48	43.68
SiO₂
B₂O₃
Li₂O
Na₂O	18.43	17.41	16.31	18.05
K₂O	7.46	7.05	6.61	7.31
MgO
CaO
SrO
BaO	3.96	3. 75	3. 51	3.88
ZnO	2.32	2.19	2.05	2.27
Al₂O₃	1.57	1.49	1.39	1.54
TiO₂	20.31	19.19	17.98	19.90
ZrO₂	1.25
Nb₂O₅
Sb₂O₃	0.12	0.11	0.10	0.12
Ta₂O₅
Y₂O₃
La₂O₃				3.24
Gd₂O₃
WO₃		6.67
Bi₂O₃			12.56
TOTAL	100.00	100.00	100.00	100.00
n_d	1.66738	1.67562	1.69631	1.66770
ν_d	26.56	26.17	25.90	27.01
P_g,F	0.634	0.632	0.632	0.634
P_g,F	0.035	0.032	0.031	0.035
∑ A₂O	25.89	24.46	22.92	25.36
∑ EO	6.28	5.94	5. 56	6.16
TiO₂/P₂O₅	0.46	0.46	0.46	0.46
Al₂O₃/TiO₂	0.08	0.08	0.08	0.08
B₂O₃/P₂O₅
TiO₂/ (P₂O₅+B₂O₃+Al₂O₃)	0.44	0.44	0.44	0.44
TiO₂/ (TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	1.00	0.74	0.59	1.00
(BaO+TiO₂)/P₂O₅	0.54	0.54	0.54	0.54
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃) / (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.53	0.68	0.83	0.53
∑ A₂O/TiO₂	1.27	1.27	1.27	1.27
∑ EO/ ∑ A₂O	0.24	0.24	0.24	0.24
SiO₂+B₂O₃

[Table 23]

MASS %	EXAMPLE 89	EXAMPLE 90	EXAMPLE 91	EXAMPLE 92
P₂O₅	44.12	43.53	45.08	45.20
SiO₂
B₂O₃			1.43
Li₂O
Na₂O	18.24	17.99	17.36	17.41
K₂O	7.38	7.28	7.54	7.56
MgO
CaO				1.15
SrO
BaO	3.92	3.87	4.01	4.02
ZnO	2.30	2.27	2.35	2.35
Al₂O₃	1.56	1.53	1.59	1.59
TiO₂	20.10	19.83	20.53	20.59
ZrO₂
Nb₂O₅
Sb₂O₃	0.12	0.12	0.12	0.12
Ta₂O₅
Y₂O₃	2.27
La₂O₃
Gd₂O₃		3.59
WO₃
Bi₂O₃
TOTAL	100.00	100.00	100.00	100.00
n_d	1.66421	1.66575	1.66525	1.66963
ν_d	27.13	27.13	26.62	26.35
P_g,F	0.632	0.633	0.634	0.635
P_g,F	0.033	0.034	0.035	0.035
∑ A₂O	25.62	25.27	24.90	24.97
∑ EO	6.22	6.13	6.35	7.52
TiO₂/P₂O₅	0.46	0.46	0.46	0.46
Al₂O₃/TiO₂	0.08	0.08	0.08	0.08
B₂O₃/P₂O₅			0.03
TiO₂/ (P₂O₅+B₂O₃+Al₂O₃)	0.44	0.44	0.43	0.44
TiO₂/ (TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	1.00	1.00	1.00	1.00
(BaO+TiO₂)/P₂O₅	0.54	0.54	0.54	0.54
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃) / (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.53	0.53	0.51	0.53
∑ A₂O/TiO₂	1.27	1.27	1.21	1.21
∑ EO/ ∑ A₂O	0.24	0.24	0.26	0.30
SiO₂+B₂O₃			1.43

[Table 24]

MASS %	EXAMPLE 93	EXAMPLE 94	EXAMPLE 95	EXAMPLE 96
P₂O₅	44.97	43.68	42.52	45.01
SiO₂
B₂O₃				2.85
Li₂O
Na₂O	17.32	16.82	16.37	16.06
K₂O	7.52	7.31	7.11	7.53
MgO
CaO
SrO
BaO	4.00	3.88	3.78	4.00
ZnO	4.01	2.27	2.21	2.34
Al₂O₃	1.59	1.54	1.50	1.59
TiO₂	20.48	19.90	19.37	20.50
ZrO₂
Nb₂O₅
Sb₂O₃	0.12	0.12	0.11	0.12
Ta₂O₅
Y₂O₃		4.49
La₂O₃
Gd₂O₃			7.02
WO₃
Bi₂O₃
TOTAL	100.00	100.00	100.00	100.00
n_d	1.67205	1.67080	1.67218	1.66750
ν_d	26.06	27.22	27.43	27.23
P_g,F	0.635	0.631	0.631	0.631
P_g,F	0.035	0.033	0.033	0.032
∑ A₂O	24.84	24.13	23.49	23.59
∑ EO	8.00	6.16	5.99	6.34
TiO₂/P₂O₅	0.46	0.46	0.46	0.46
Al₂O₃/TiO₂	0.08	0.08	0.08	0.08
B₂O₃/P₂O₅				0.06
TiO₂/ (P₂O₅+B₂O₃+Al₂O₃)	0.44	0.44	0.44	0.41
TiO₂/(TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	1.00	1.00	1.00	1.00
(BaO+TiO₂)/P₂O₅	0.54	0.54	0.54	0.54
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃) / (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.53	0.53	0.53	0.50
∑ A₂O/TiO₂	1.21	1.21	1.21	1.15
∑ EO/ ∑ A₂O	0.32	0.26	0.26	0.27
SiO₂+B₂O₃				2.85

[Table 25]

MASS %	EXAMPLE 97	EXAMPLE 98	EXAMPLE 99	EXAMPLE 100
P₂O₅	44.83	44.04	44.22	44.94
SiO₂
B₂O₃	2.84			4.27
Li₂O
Na₂O	14.73	18.20	17.65	14.77
K₂O	7.50	7.37	7.40	7.52
Mg O
CaO
SrO
BaO	3.98	3.91	3.93	3.99
ZnO	3.99	2.29	2.30	2.34
Al₂O₃	1.58		1.56	1.58
TiO₂	20.42	24.07	20.14	20.47
ZrO₂
Nb₂O₅			2.68
Sb₂O₃	0.12	0.12	0.12	0.12
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃
Bi₂O₃
TOTAL	100.00	100.00	100.00	100.00
n_d	1.67309	1.69090	1.67300	1.66650
ν_d	27.07	24.49	26.29	27.78
P_g,F	0.631	0.640	0.634	0.628
P_g,F	0.032	0.037	0.034	0.031
∑ A₂O	22.23	25.57	25.05	22.29
∑ EO	7.98	6.21	6.23	6.33
TiO₂/P₂O₅	0.46	0.55	0.46	0.46
Al₂O₃/TiO₂	0.08		0.08	0.08
B₂O₃/P₂O₅	0.06			0.10
TiO₂/ (P₂O₅+B₂O₃+Al₂O₃)	0.41	0.55	0.44	0.40
TiO₂/ (TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	1.00	1.00	0.88	1.00
(BaO+TiO₂) /P₂O₅	0.54	0.64	0.54	0.54
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃) / (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.50	0.64	0.58	0.48
∑ A₂O/TiO₂	1.09	1.06	1.24	1.09
∑ EO/ ∑ A₂O	0.36	0.24	0.25	0.28
SiO₂+B₂O₃	2.84			4.27

[Table 26]

MASS %	EXAMPLE 101	EXAMPLE 102	EXAMPLE 103	EXAMPLE 104
P₂O₅	44.94	45.09	44.90	44.61
SiO₂
B₂O₃	4.27		1.42
Li₂O
Na₂O	14.77	19.26	16.02	14.66
K₂O	7.52	6.59	7.51	7.47
MgO
CaO
SrO
BaO	3.99	8.43	3.99	3.97
ZnO	2.34		4.00	7.28
Al₂O₃	1.58		1.58	1.57
TiO₂	20.47	20.54	20.45	20.32
ZrO₂
Nb₂O₅
Sb₂O₃	0.12	0.09	0.12	0.12
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃
Bi₂O₃
TOTAL	100.00	100.00	100.00	100.00
n_d	1.66844	1.66718	1.67030	1.68131
ν _d	27.63	26.14	26. 84	25.94
P_g,F	0.630	0.637	0.632	0.634
P_g,F	0.032	0.036	0.033	0.034
∑ A₂O	22.29	25.85	23.53	22.13
∑ EO	6.33	8.43	7.99	11.25
TiO₂/P₂O₅	0.46	0.46	0.46	0.46
Al₂O₃/TiO₂	0.08		0.08	0.08
B₂O₃/P₂O₅	0.10		0.03
TiO₂/ (P₂O₅+B₂O₃+Al₂O₃)	0.40	0.46	0.43	0.44
TiO₂/ (TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	1.00	1.00	1.00	1.00
(BaO+TiO₂)/P₂O₅	0.54	0.64	0.54	0.54
(BaO+TiO₂+Nb₂O₅ +Ta₂O₃+WO₃+Bi₂O₃) / (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.48	0.64	0.51	0.53
∑ A₂O/TiO₂	1.09	1.26	1.15	1.09
∑ EO/ ∑ A₂O	0.28	0.33	0.34	0.51
SiO₂+B₂O₃	4.27		1.42

[Table 27]

MASS %	EXAMPLE 105	EXAMPLE 106	EXAMPLE 107	EXAMPLE 108
P₂O₅	43.78	45.88	44.42	45.61
SiO₂
B₂O₃	2.78	2.91	2.82	2.89
Li₂O				1.24
Na₂O	13.77	14.43	13.34	13.70
K₂O	7.33	7.68	11.24	7.63
MgO
CaO
SrO
BaO	8.48	4.08	3.95	4.05
ZnO	2.28	2.39	2.31	2.37
Al₂O₃	1.54	1.62	1.57	1.61
TiO₂	19.94	20.90	20.23	20.77
ZrO₂
Nb₂O₅
Sb₂O₃	0.12	0.12	0.12	0.12
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃
Bi₂O₃
TOTAL	100.00	100.00	100.00	100.00
n_d	1.67654	1.67496	1.66703	1.67910
ν_d	27.26	26.70	26.96	26.65
P_{g, F}	0.630	0.631	0.633	0.632
P_g,F	0.032	0.032	0.034	0.032
∑ A₂O	21.09	22.11	24.59	22.57
∑ EO	10.75	6.47	6.26	6.43
TiO₂/P₂O₅	0.46	0.46	0.46	0.46
Al₂O₃/TiO₂	0.08	0.08	0.08	0.08
B₂O₃/P₂O₅	0.06	0.06	0.06	0.06
TiO₂/(P₂O₅+B₂O₃+Al₂O₃)	0.41	0.41	0.41	0.41
TiO₂/(TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	1.00	1.00	1.00	1.00
(BaO+TiO₂)/P₂O₅	0.65	0.54	0.54	0.54
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃)/ (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.59	0.50	0.50	0.50
∑ A₂O/TiO₂	1.06	1.06	1.22	1.09
∑ EO/ ∑A₂O	0.51	0.29	0.25	0.28
SiO₂+B₂O₃	2.78	2.91	2.82	2.89

[Table 28]

MASS %	EXAMPLE 109	EXAMPLE 110	EXAMPLE 111	EXAMPLE 112
P₂O₅	47.29	44.86	31.88	32.05
SiO₂
B₂O₃
Li₂O
Na₂O	17.10	18.54	7.96	8.00
K₂O	7.43	7.51	5.34	5.36
MgO
CaO
SrO
BaO	3.95		6.06	6.09
ZnO	2.31	4.45
Al₂O₃	1.57		1.63	1.64
TiO₂	20.23	24.52	16.71	16.80
ZrO₂
Nb₂O₅				5.91
Sb₂O₃	0.12	0.12
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃			15.87	3.98
Bi₂O₃			14.55	20.17
TOTAL	100.00	100.00	100.00	100.00
n_d	1.66771	1.69134	1.78560	1.79432
ν_d	26.09	24.29	22.76	23.06
P_g,F	0.636	0.640	0.643	0.636
P_g,F	0.036	0.037	0.037	0.030
∑ A₂O	24.54	26.05	13.30	13.37
∑ EO	6.26	4.45	6.06	6.09
TiO₂/P₂O₅	0.43	0.55	0.52	0.52
Al₂O₃/TiO₂	0.08		0.10	0.10
B₂O₃/P₂O₅
TiO₂/(P₂O₅+B₂O₃+Al₂O₃)	0.41	0.55	0.50	0.50
TiO₂/(TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	1.00	1.00	0.35	0.36
(BaO+TiO₂)/P₂O₅	0.51	0.55	0.71	0.71
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃)/ (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.49	0.55	1.59	1.57
∑ A₂O/TiO₂	1.21	1.06	0.80	0.80
∑ EO/ ∑A₂O	0.26	0.17	0.46	0.46
SiO₂+B₂O₃

[Table 29]

MASS %	EXAMPLE 113	EXAMPLE 114	EXAMPLE 115	EXAMPLE 116
P₂O₅	39.58	43.53	40.33	41.34
SiO₂
B₂O₃
Li₂O		1.82	1.69	2.67
Na₂O	15.24	14.21	13.17	15.92
K₂O	6.62	7.28	6.75	3.24
MgO
CaO
SrO
BaO	3.52
ZnO	2.06
Al₂O₃	1.84			1.92
TiO₂	20.55	28.03	24.45	20.06
ZrO₂
Nb₂O₅
Sb₂O₃	0.11	0.12	0.11	0.11
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃
Bi₂O₃	10.50	5.02	13.50	14.75
TOTAL	100.00	100.00	100.00	100.00
n_d	1.70813	1.74456	1.75529	1.71684
ν_d	25.27	21.97	22.27	25.21
P_g,F	0.635	0.649	0.645	0.632
P_g,F	0.033	0.041	0.038	0.030
∑ A₂O	21.86	23.32	21.61	21.83
∑ EO	5.58
TiO₂/P₂O₅	0.52	0.64	0.61	0.49
Al₂O₃/TiO₂	0.09			0.10
B₂O₃/P₂O₅
TiO₂/(P₂O₅+B₂O₃+Al₂O₃)	0.50	0.64	0.61	0.46
TiO₂/(TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	0.66	0.85	0.64	0.58
(BaO+TiO₂)/P₂O₅	0.61	0.64	0.61	0.49
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃)/ (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.83	0.76	0.94	0.80
∑ A₂O/TiO₂	1.06	0.83	0.88	1.09
∑ EO/ ∑A₂O	0.26
SiO₂+B₂O₃

[Table 30]

MASS %	EXAMPLE 117	EXAMPLE 118	EXAMPLE 119	EXAMPLE 120
P₂O₅	36.67	42.54	40.52	36.93
SiO₂
B₂O₃
Li₂O	2.37			1.54
Na₂O	14.12	17.58	16.75	12.06
K₂O	2.87	7.12	6.78	6.18
MgO
CaO
SrO
BaO
ZnO		4.22	4.02
Al₂O₃	1.70
TiO₂	20.04	23.25	20.03	21.21
ZrO₂
Nb₂O₅			4.95
Sb₂O₃	0.10	0.11	0.11	0.10
Ta₂O₅				9.61
Y₂O₃
La₂O₃
Gd₂O₃
WO₃			1.82
Bi₂O₃	22.14	5.19	5.03	12.36
TOTAL	100.00	100.00	100.00	100.00
n_d	1.74388	1.70204	1.70692	1.76027
ν _d	25.00	24.32	24.75	22.93
P_g,F	0.628	0.640	0.634	0.639
P_g,F	0.026	0.037	0.031	0.033
∑ A₂O	19.36	24.70	23.53	19.78
∑ EO		4.22	4.02
TiO₂/P₂O₅	0.55	0.55	0.49	0.57
Al₂O₃/TiO₂	0.08
B₂O₃/P₂O₅
TiO₂/(P₂O₅+B₂O₃+Al₂O₃)	0.52	0.55	0.49	0.57
TiO₂/(TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	0.48	0.82	0.63	0.49
(BaO+TiO₂)/P₂O₅	0.55	0.55	0.49	0.57
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃)/ (P₂O₅+B₂O₃+Si0₂+Al₂O₃)	1.10	0.67	0.79	1.17
∑ A₂O/TiO₂	0.97	1.06	1.17	0.93
∑ EO/ ∑ A₂O		0.17	0.17
SiO₂+B₂O₃

[Table 31]

MASS %	EXAMPLE 121	EXAMPLE 122	EXAMPLE 123	EXAMPLE 124
P₂O₅	37.05	42.38	35.68	43.46
SiO₂
B₂O₃			3.51
Li₂ O	1.55	1.56	2.77
Na₂O	12.10	14.39	16.50	17.96
K₂O	6.20	6.26	3.36	7.27
MgO				2.14
CaO
SrO
BaO
ZnO
Al₂O₃			1.99
TiO₂	21.28	30.26	20.79	23.75
ZrO₂
Nb₂O₅
Sb₂O₃	0.10	0.10	0.11	0.12
Ta₂O₅	15.43
Y₂O₃
La₂O₃
Gd₂O₃
WO₃
Bi₂O₃	6.30	5.05	15.28	5.30
TOTAL	100.00	100.00	100.00	100.00
n_d	1.75265	1.75884	1.70707	1.69980
ν _d	23.27	21.62	26.91	24.27
P_g,F	0.634	0.647	0.622	0.637
P_g,F	0.029	0.039	0.023	0.033
∑ A₂O	19.85	22.21	22.63	25.23
∑ EO				2.14
TiO₂/P₂O₅	0.57	0.71	0.58	0.55
Al₂O₃/TiO₂			0.10
B₂O₃/P₂O₅			0.10
TiO₂/(P₂O₅+B₂O₃+Al₂O₃)	0.57	0.71	0.50	0.55
TiO₂/(TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	0.49	0.86	0.58	0.82
(BaO+TiO₂)/P₂O₅	0.57	0.71	0.58	0.55
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃)/ (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	1.16	0.83	0.88	0.67
∑ A₂O/TiO₂	0.93	0. 73	1.09	1.06
∑ EO/ΣA₂O				0.08
SiO₂+B₂O₃			3.51

[Table 32]

MASS %	EXAMPLE 125	EXAMPLE 126	EXAMPLE 127	EXAMPLE 128
P₂O₅	43.10	42.05	41.38	40.17
SiO₂
B₂O₃
Li₂O
Na₂O	17.81	17.38	17.10	16.60
K₂O	7.21	7.04	6.92	6.72
MgO
CaO	2.95
SrO		5.31
BaO
ZnO			2.57	2.50
Al₂O₃
TiO₂	23.55	22.98	22.61	21.95
ZrO₂
Nb₂O₅
Sb₂O₃	0.11	0.11	0.11	0.11
Ta₂O₅
Y₂O₃			4.25
La₂O₃
Gd₂O₃				6.63
WO₃
Bi₂O₃	5.26	5.13	5.05	5.33
TOTAL	100.00	100.00	100.00	100.00
n_d	1.69772	1.69810	1.69989	1.70469
ν _d	24.80	24.82	25.46	25.30
P_g,F	0.622	0.636	0.627	0.633
P_g,F	0.019	0.033	0.025	0.031
ΣA₂O	25.03	24.42	24.02	23.32
ΣEO	2.95	5.31	2.57	2.50
TiO₂/P₂O₅	0.55	0.55	0.55	0.55
Al₂O₃/TiO₂
B₂O₃/P₂O₅
TiO₂/(P₂O₅+B₂O₃+Al₂O₃)	0.55	0.55	0.55	0.55
TiO₂/(TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	0.82	0.82	0.82	0.80
(BaO+TiO₂)/P₂O₅	0.55	0.55	0.55	0.55
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃)/ (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.67	0.67	0.67	0.68
∑ A₂O/TiO₂	1.06	1.06	1.06	1.06
∑ EO/ ∑A₂O	0.12	0.22	0.11	0.11
SiO₂+B₂O₃

[Table 33]

MASS %	EXAMPLE 129	EXAMPLE 130	EXAMPLE 131	EXAMPLE 132
P₂O₅	42.05	41.97	44.47	43.06
SiO₂	1.15
B₂O₃		1.33
Li₂O			1.86
Na₂O	17.38	17.35	19.42	17.80
K₂O	7.04	7.02		7.21
MgO
CaO
SrO
BaO
ZnO	4.17	4.16	4.41	2.68
Al₂O₃
TiO₂	22.98	22.94	24.30	20.24
ZrO₂
Nb₂O₅
Sb₂O₃	0.11	0.11	0.12	0.11
Ta₂O₅
Y₂O₃
La₂O₃				3.19
Gd₂O₃
WO₃
Bi₂O₃	5.13	5.12	5.42	5.71
TOTAL	100.00	100.00	100.00	100.00
n_d	1.70042	1.69808	1.71941	1.68460
ν _d	24.40	25.01	24.03	25.71
P_g,F	0.635	0.629	0.637	0.626
P_g,F	0.032	0.027	0.033	0.025
∑ A₂O	24.41	24.37	21.28	25.00
∑ EO	4.17	4.16	4.41	2.68
TiO₂/P₂O₅	0.55	0.55	0.55	0.47
Al₂O₃/TiO₂
B₂O₃/P₂O₅		0.03
TiO₂/(P₂O₅+B₂O₃+Al₂O₃)	0.55	0.53	0.55	0.47
TiO₂/(TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	0.82	0.82	0.82	0.78
(BaO+TiO₂)/P₂O₅	0.55	0.55	0.55	0.47
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃)/ (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.65	0.65	0.67	0.60
∑ A₂O/TiO₂	1.06	1.06	0.88	1.24
∑ EO/ΣA₂O	0.17	0.17	0.21	0.11
SiO₂+B₂O₃	1.15	1.33

[Table 34]

MASS %	EXAMPLE 133	EXAMPLE 134	EXAMPLE 135	EXAMPLE 136
P₂O₅	42.08	43.51	41.88	24.37
SiO₂				0.76
B₂O₃				5.85
Li₂O
Na₂O	17.39		17.31	5.13
K₂O	7.04	19.21	7.01	10.20
MgO		3.40
CaO
SrO
BaO				14.32
ZnO	4.18	8.35	4.15
Al₂O₃
TiO₂	23.00	20.07	22.88	15.45
ZrO₂	1.06
Nb₂O₅				23.86
Sb₂O₃	0.11	0.12	0.11	0.06
Ta₂O₅
Y₂O₃
La₂O₃			1.55
Gd₂O₃
WO₃
Bi₂O₃	5.13	5.35	5.11
TOTAL	100.00	100.00	100.00	100.00
n_d	1.70538	1.68875	1.70164	1.78593
ν_d	24.29	25.66	24.68	23.93
P_g,F	0.637	0.625	0.634	0.633
P_g,F	0.034	0.023	0.031	0.029
∑A₂O	24.43	19.21	24.31	15.33
∑EO	4.18	11.74	4.15	14.32
TiO₂/P₂O₅	0.55	0.46	0.55	0.63
Al₂O_3/TiO₂
B₂0₃/P₂0₅				0.24
TiO₂/(P₂O₅+B₂O₃+Al₂O₃)	0.55	0.46	0.55	0.51
TiO₂/(TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	0.82	0.79	0.82	0.39
(BaO+TiO₂)/P₂O₅	0.55	0.46	0.55	1.22
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃)/ (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	0.67	0.58	0.67	1.73
ΣA₂O/TiO₂	1.06	0.96	1.06	0.99
∑ EO/ ∑ A₂O	0.17	0.61	0.17	0.93
SiO₂+B₂O₃				6.61

[Table 35]

MASS %	EXAMPLE 137	EXAMPLE 138	EXAMPLE 139
P₂O₅	24.37	24.38	35.44
SiO₂	0.76	1.06
B₂O₃	5.85	5.55	1.42
Li₂O
Na₂O	4.51	5.13	6.96
K₂O	10.82	10.20	1.01
MgO
CaO	1.01		6.29
SrO
BaO	13.31	13.82	14.83
ZnO
Al₂O₃
TiO₂	15.45	15.44	25.94
ZrO₂
Nb₂O₅	23.86	24.36	8.12
Sb₂O₃	0.06	0.06
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃
Bi₂O₃
TOTAL	100.00	100.00	100.00
n_d	1.78524	1.78802	1.80663
ν_d	24.04	23.76	23.16
P_g,F	0.633	0.632	0.640
P_g,F	0.029	0.027	0.035
∑ A₂O	15.33	15.33	7.97
∑ EO	14.32	13.82	21.12
TiO₂/P₂O₅	0.63	0.63	0.73
Al₂O₃/TiO₂
B₂O₃/P₂O₅	0.24	0.23	0.04
TiO₂/(P₂O_B+B₂O₃+Al₂O₃)	0.51	0.52	0.70
TiO₂/(TiO₂+Nb₂O₅+WO₃+ Bi₂O₃+Ta₂O₅)	0.39	0.39	0.76
(BaO+TiO₂)/P₂O₅	1.18	1.20	1.15
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃)/ (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	1.70	1.73	1.33
∑ A₂O/TiO₂	0.99	0.99	0.31
∑ EO/ΣA₂O	0.93	0.90	2.65
SiO₂+B₂O₃	6.61	6.61	1.42

[Table 36]

MASS %	COMPARATIVE EXAMPLE 1	COMPARATIVE EXAMPLE 2	COMPARATIVE EXAMPLE 3
P₂O₅	29.59	28.75	28.75
SiO₂
B₂O₃
Li₂O		0.39	0.39
Na₂O	8.94	8.69	8.69
K₂O	5.58	5.42	5.42
MgO
CaO
SrO
BaO	15.70	15.26	15.26
ZnO
Al₂O₃		0.33	0.33
TiO₂	40.12	40.53	40.53
ZrO₂		0.64	0.64
Nb₂O₅
Sb₂O₃	0.08	0.08
Ta₂O₅
Y₂O₃
La₂O₃
Gd₂O₃
WO₃
Bi₂O₃
TOTAL	100.00	100.08	100.00
n_d	UNMEASURABLE	UNMEASURABLE	UNMEASURABLE
ν_d	UNMEASURABLE	UNMEASURABLE	UNMEASURABLE
P_g,F	UNMEASURABLE	UNMEASURABLE	UNMEASURABLE
P_g,F	UNMEASURABLE	UNMEASURABLE	UNMEASURABLE
∑ A₂O	14.51	14.49	14.49
∑ EO	15.70	15.26	15.26
TiO₂/P₂O₅	1.36	1.41	1.41
Al₂O₃/TiO₂		0.01	0.01
B₂O₃/P₂O₅
TiO₂/(P₂O₅+B₂O₃+Al₂O₃)	1.36	1.39	1.39
TiO₂/(TiO₂+Nb₂O₆+WO₃+ Bi₂O₃+Ta₂O₅)	1.00	1.00	1.00
(BaO+TiO₂)/P₂O₅	1.89	1.94	1.94
(BaO+TiO₂+Nb₂O₅ +Ta₂O₅+WO₃+Bi₂O₃)/ (P₂O₅+B₂O₃+SiO₂+Al₂O₃)	1.89	1.92	1.92
∑ A₂O/TiO₂	0.36	0.36	0.36
∑ EO/ ∑A₂O	1.08	1.05	1.05
SiO₂+B₂O₃

From above, it was confirmed that the optical glasses in Examples were highly dispersive and had a high partial dispersion ratio. Further, it was confirmed that the optical glasses in Examples were excellent in transparency with suppressed coloration.

Reference Signs List

1 Imaging device
101 Camera body
102 Lens barrel
103 Lens
104 Sensor chip
105 Glass substrate
106 Multi-chip module
CAM Imaging device (fixed lens camera)
WL Photographing lens
M Liquid crystal monitor
EF Auxiliary light emitting unit
B1 Release button
B2 Function button
2 Multi-photon microscope
201 Pulse laser device
202 Pulse division device
203 Beam adjustment unit
204, 205, 212 Dichroic mirror
206 Objective lens
207, 211, 213 Fluorescence detection unit
208 Condensing lens
209 Pinhole
210 Image forming lens
S Sample
3 Cemented lens
301 First lens element
302 Second lens element
303 Joining member

Claims

An optical glass comprising:
by mass%,
20% to 55% of a content rate of P₂O₅;

10% to 40% of a content rate of TiO₂;

0% to 30% of a content rate of Nb₂O₅;

0% to 2% of a content rate of Al₂O₃;

0% to 10% of a content rate of B₂O₃;

0% to 30% of a content rate of BaO;

0% to 30% of a content rate of Bi₂O₃;

0% to 20% of a content rate of Ta₂O₅; and

0% to 25% of a content rate of WO₃, wherein

a ratio of a content rate of TiO₂ to a total content rate of P₂O₅, B₂O₃, and Al₂O₃ (TiO₂/(P₂O₅ + B₂O₃ + Al₂O₃)) is from 0.25 to 0.85, and

a ratio of a content rate of TiO₂ to a total content rate of TiO₂, Nb₂O₅, WO₃, Bi₂O₃, and Ta₂O₅ (TiO₂/(TiO₂ + Nb₂O₅ + WO₃ + Bi₂O₃ + Ta₂O₅)) is from 0.25 to 1.00.
The optical glass according to claim 1, wherein
by mass%,
a ratio of a total content rate of BaO and TiO₂ to a content rate of P₂O₅ ((BaO + TiO₂)/P₂O₅) is from 0.40 to 1.50.
An optical glass comprising:
by mass%,
20% to 55% of a content rate of P₂O₅;

10% to 40% of a content rate of TiO₂;

0% to 30% of a content rate of Nb₂O₅;

0% to 2% of a content rate of Al₂O₃;

0% to 10% of a content rate of B₂O₃;

0% to 30°; of a content rate of BaO;

0% to 30% of a content rate of Bi₂O₃;

0% to 20% of a content rate of Ta₂O₅; and

0% to 25% of a content rate of WO₃, wherein

a ratio of a total content rate of BaO and TiO₂ to a content rate of P₂O₅ ((BaO + TiO₂)/P₂O₅) is from 0.40 to 1.50.
The optical glass according to claim 3, wherein
by mass%,
a ratio of a content rate of TiO₂ to a total content rate of P₂O₅, B₂O₃, and Al₂O₃ (TiO₂/(P₂O₅ + B₂O₃ + Al₂O₃)) is from 0.25 to 0.85.
The optical glass according to claim 3, wherein
by mass%,
a ratio of a content rate of TiO₂ to a total content rate of TiO₂, Nb₂O₅, WO₃, Bi₂O₃, and Ta₂O₅ (TiO₂/(TiO₂ + Nb₂O₅ + WO₃ + Bi₂O₃ + Ta₂O₅)) is from 0.25 to 1.00.
The optical glass according to any one of claims 1 to 5, further comprising:
by mass%,
0% to 30% of a content rate of Na₂O;

0% to 25% of a content rate of K₂O; and

0% to 5% of a content rate of Li₂O.
The optical glass according to any one of claims 1 to 6, further comprising:
by mass%,
0% to 15% of a content rate of ZnO;

0% to 10% of a content rate of MgO;

0% to 10% of a content rate of CaO; and

0% to 15% of a content rate of SrO.
The optical glass according to any one of claims 1 to 7, further comprising:
by mass%,
0% to 5% of a content rate of SiO₂;

0% to 5% of a content rate of ZrO₂; and

0% to 1% of a content rate of Sb₂O₃.
The optical glass according to any one of claims 1 to 8, further comprising:
by mass%,
0% to 10% of a total content rate of SiO₂ and B₂O₃.
The optical glass according to any one of claims 1 to 9, further comprising:
by mass%,
0% to 8% of a content rate of Y₂O₃;

0% to 5% of a content rate of La₂O₃; and

0% to 10% of a content rate of Gd₂O₃.
The optical glass according to any one of claims 1 to 10, further comprising:
5% to 35° of a total content rate of Li₂O, Na₂O, and K₂O (ΣA₂O; where, A = Li, Na, K).
The optical glass according to any one of claims 1 to 11, further comprising:
0% to 30% of a total content rate of MgO, CaO, SrO, BaO, and ZnO (ZEO; where, E = Mg, Ca, Sr, Ba, Zn).
The optical glass according to any one of claims 1 to 12, wherein
by mass%,
a ratio of a content rate of TiO₂ to a content rate of P₂O₅ (TiO₂/P₂O₅) is from 0.25 to 0.85.
The optical glass according to any one of claims 1 to 13, wherein
a ratio of a content rate of Al₂O₅ to a content rate of TiO₂ (Al₂O₃/TiO₂) is from 0 to 0.15.
The optical glass according to any one of claims 1 to 14, wherein
a ratio of a content rate of B₂O₃ to a content rate of P₂O₅ (B₂O₃/P₂O₅) is from 0 to 0.30.
The optical glass according to any one of claims 1 to 15, wherein
a ratio of a total content rate of BaO, TiO₂, Nb₂O₅, WO₃, Bi₂O₃, and Ta₂O₅ to a total content rate of P₂O₅, B₂O₃, SiO₂, and Al₂O₃ ((BaO + TiO₂ + Nb₂O₅ + WO₃ + Bi₂O₃ + Ta₂O₅) / (P₂O₅ + B₂O₃ + SiO₂ + Al₂O₃)) is from 0.40 to 2.00.
The optical glass according to any one of claims 1 to 16, wherein
a ratio of a total content rate of Li₂O, Na₂O, and K₂O (ΣA₂O; where, A = Li, Na, K) to a content rate of TiO₂ (ΣA₂O/TiO₂) is from 0.10 to 2.00.
The optical glass according to any one of claims 1 to 17, wherein
a ratio of a total content rate of MgO, CaO, SrO, BaO, and ZnO (ΣEO; where, E = Mg, Ca, Sr, Ba, Zn) to a total content rate of Li₂O, Na₂O, and K₂O (ΣA₂O; where, A = Li, Na, K) (ΣEO/ΣA₂O) is from 0 to 3.00.
The optical glass according to any one of claims 1 to 18, wherein
a refractive index (n_d) with respect to a d-line falls within a range from 1.60 to 1.85.
The optical glass according to any one of claims 1 to 19, wherein
an abbe number (ν_d) falls within a range from 20 to 35.
The optical glass according to any one of claims 1 to 20, wherein
a partial dispersion ratio (P_g,F) is from 0.61 to 0.66.
The optical glass according to any one of claims 1 to 21, wherein
abnormal dispersibility (ΔP_g,F) is from 0.015 to 0.055.
An optical element using the optical glass according to any one of claims 1 to 22.
An optical system comprising the optical element according to claim 23.
An interchangeable camera lens comprising the optical system according to claim 24.
An objective lens for a microscope comprising the optical system according to claim 24.
An optical device comprising the optical system according to claim 24.
A cemented lens comprising:
a first lens element; and

a second lens element, wherein

at least one of the first lens element and the second lens element comprises the optical glass according to any one of claims 1 to 22.
An optical system comprising the cemented lens according to claim 28.
An objective lens for a microscope comprising the optical system according to claim 29.
An interchangeable camera lens comprising the optical system according to claim 29.
An optical device comprising the optical system according to claim 29.